{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.10810810810810811\n",
      "0.25\n"
     ]
    },
    {
     "data": {
      "image/png": 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SVxERERGpNi74mlcRERG5sFitVvLz8ykoKHB3KC5nNpvx9PQkJyenWr9fDw8PPD09ndK2VMmriIiIVBt5eXkkJCSQnZ3t7lAqhdVqJSIigoMHD1b7fvV+fn5ERkbi5eV1XudR8ioiIiLVgsViIT4+Hg8PD6KiovDy8qr2Cd25WCwWMjMzCQgIOGfz/qrKarWSl5fHsWPHiI+Pp2nTpuf1XpS8ioiISLWQl5eHxWIhOjoaPz8/d4dTKSwWC3l5efj4+FTb5BXA19cXk8nE/v377e+noqrvKIiIiEiNVJ2TuJrMWd83ffdFREREpNpQ8ioiIiIi1YZqXkVERKRGKbBYWRefQlJGDnUCfejaMBQP44V949eFRDOvIiIiUmMs2JpA75d+56aP1/DA7Dhu+ngNvV/6nQVbE1x63aSkJMaNG0eDBg3w9vYmIiKCK664gtWrVwMQGxuLwWDAYDDg5+dHmzZt+PDDDyt8vTFjxtjPZzKZaNSoEY888ghZWVn2Y7777ju6detGcHAwgYGBtG7dmocffti+f8aMGfZzGAwGIiMjueGGG4iPj6/4QDiBklcRERGpERZsTeCemRtJSMspsj0xLYd7Zm50aQJ77bXXsmnTJj777DN27drFvHnz6NOnDykpKfZjnn32WRISEti8eTPDhw/n7rvvZs6cOSWeb8qUKYwZM6bMaw4cOJCEhAT27t3Lc889x3vvvccjjzwCwOLFixkxYgTXXXcd69atY8OGDTz//PPk5eUVOUdQUBAJCQkcOXKEWbNmERcXx1VXXeXWBRNUNuAMqQchO7n0/X5hEBJdefGIiIjUAFarlZNmx5KoAouVyfO2YS3pPIABmDJvO72ahDtUQuBr8nC4x2xqaip//PEHy5Yt49JLLwUgJiaGrl27FjkuMDCQiIgIAJ577jm+/vprfvzxRwYNGuTQdc5WOMMLMHLkSJYuXcrcuXN5//33+emnn+jduzcTJ060H9+sWTOGDx9e5BwGg8F+jsjISCZPnsyoUaP4999/ad68eYXiOl9KXs9X6kF45yLIzy39GE9vGL9BCayIiIgTnTQX0OqZ35xyLiuQmJ5D2ykLHTp++7NX4OflWBoVEBBAQEAAc+fOpXv37nh7ezv0Oh8fH8xms0PHOsLX19d+voiICGbNmsXWrVtp06ZNuc4BODWu8lLZwPnKTi47cQXb/rJmZkVEROSC5enpyYwZM/jss88ICQmhV69eTJo0ic2bN5d4fH5+PjNmzGDLli1cdtllTolh3bp1zJo1i8svvxyA++67jy5dutC2bVtiY2MZMWIE06dPJze39Jzm0KFDvPLKK9SvX59mzZo5Ja6K0MyriIiIVEu+Jg+2P3uFQ8eui09hzKd/nfO4GWO70LVhqEPXLo9rr72WIUOGsHLlSlavXs2CBQt4+eWXmTZtmr129bHHHuOpp54iNzcXLy8vJk6cyLhx48jMzGTlypUMGTLEfr68vDysVivffvutfdukSZOYNGmS/flPP/1EQEAA+fn5mM1mhg0bxttvvw2Av78/P//8M3v27GHp0qWsWbOGhx9+mDfffJPVq1fbVzBLS0sjICAAq9VKdnY2nTp14vvvv8fLy6tc79+ZlLyKiIhItWQwGBz+6P7iprWJDPYhMS2nxLpXAxAR7MPFTWu7rG2Wj48P/fv3p3///jzzzDPccccdTJ482Z68Tpw4kTFjxuDn50dkZCQGgwGLxQJA586diYuLs5/rrbfe4vDhw7z00kv2baGhRZPuvn378v7772MymYiKisJkMhWLqXHjxjRu3Jg77riDJ598kmbNmjFnzhzGjh0L2OpwN27ciNFopG7duvj7+zt5VMrPrWUDK1asYOjQoURFRWEwGJg7d26R/ZmZmYwfP5769evj6+tLy5Ytef/9990TrIiIiFRbHkYDk4e2AmyJ6pkKn08e2qpS+722atWqSOuq8PBwmjRpYs+LzuTr60uTJk3sj9DQUAIDA4ttO5O/vz9NmjQhJiamxMT1bLGxsfj5+RWJyWg00qRJExo1alQlEldw88xrVlYW7du3Z+zYsVx77bXF9j/00EMsXbqUmTNnEhsby8KFC7n33nuJiopi2LBhbohYREREqquBbSJ5f1Qnps7fXqRdVkSwD5OHtmJgm0iXXDc5OZnrr7+e2267jXbt2hEYGMj69et5+eWX3ZbPTJkyhezsbAYPHkxMTAypqam89dZbmM1m+vfv75aYHOXW5HXQoEFltn9YvXo1t956K3369AHgrrvu4sMPP2T9+vVKXkVERKTcBraJpH+riEpdYSsgIIBu3brx+uuvs2fPHsxmM9HR0dx5551FalQr06WXXsq7777LLbfcwtGjR6lVqxYdO3Zk4cKFbmuB5agqXfPau3dv5s2bx2233UZUVBTLli1j165dvPnmm6W+Jjc3t8idcunp6YCtpYNL2jrk53PuiXgw5+fDOa5fGJ87209UBxonx2icHKexcozGyTEaJ8dUZJzMZjNWqxWLxWKvBa0IA9CtYa0ztlixWEqqhHUOk8nE888/z/PPP1/ifovFwt69e+1fn8lqtdr/PHPfM888U+LxhaZPn17m/ksvvdTec7akeABuueUWbrnllvMa67PPa7VaMZvNeHgUveGtPH8PDNbCUXEzg8HADz/8UKQ5bl5eHnfeeSeff/45np6eGI1Gpk2bxujRo0s9z5QpU5g6dWqx7bNmzbLfOedMvnnHuXz7Y3hYSx/0AoOJJa1e4qRXuNOvLyIiUlN4enoSERFBdHS0W+92l4rJy8vj4MGDJCYmkp+fX2RfdnY2I0eOJC0tjaCgoDLPU6VnXt966y3WrFnDvHnziImJYcWKFdx7771ERkbSr1+/El/zxBNPMGHCBPvz9PR0oqOjGTBgwDkHo6IsfS/DUtjHtcCM52eDMGDFfNM34BsKfmH0Da5/zvOYzWYWLVpE//79HSqsrqk0To7RODlOY+UYjZNjNE6Oqcg45eTkcPDgQQICAvDx8XFxhFWD1WolIyODwMBAh1f0qqpycnLw9fXlkksuKfb9K/yk3BFVNnk9efIkkyZN4ocffrD3NWvXrh1xcXG8+uqrpSav3t7eJa5cYTKZXPdDJLwh0PD085BoSD2AyScQGnQu9+lcGusFROPkGI2T4zRWjtE4OUbj5JjyjFNBQQEGgwGj0YjRWDPWWSr8yL7wfVdnRqMRg8FQ4ve8PP9WquwoFNaonv2N8vDwcFrthcuENrL9mbLHvXGIiIiIXGDcOvOamZnJv//+a38eHx9PXFwcoaGhNGjQgEsvvZSJEyfi6+tLTEwMy5cv5/PPP+e1115zY9QOCG0Me5dBspJXEREREWdya/K6fv16+vbta39eWKt66623MmPGDGbPns0TTzzBzTffTEpKCjExMTz//PPcfffd7grZMWGNbX9q5lVERETEqdyavPbp04eymh1ERETw6aefVmJEThJamLzudW8cIiIiIheYKlvzWq0V1rwm74Wq0YlMRERE5IKg5NUVasWCwQjmLMg86u5oRERERC4YVbZVVrXm6QXB0ZC633bTVmCEuyMSERGR1INQ2Je9JH5htnaXUqVp5tVVwlT3KiIiUmWkHoR3LoKPLi398c5FtuNcYMyYMRgMBgwGA56enjRo0IB77rmHEydO2I+JjY21H+Pn50ebNm348MMP7ftnzJhh3+/h4UGtWrXo1q0bzz77LGlpaecd499//82NN95IZGQk3t7exMTEcOWVVzJ//nz7PUr79u2zx2AwGAgMDKR169b83//9H7t37z7vGByh5NVV1OtVRESk6shOhvzcso/Jzy17ZvY8DRw4kISEBPbt28e0adOYP38+9957b5Fjnn32WRISEti8eTPDhw/n3nvv5fvvv7fvDwoKIiEhgUOHDrFq1SruuusuPv/8czp06MCRI0dKvXafPn2YMWNGqft//PFHunfvTmZmJp999hnbt2/nm2++Yfjw4Tz11FPFkuPFixeTkJDApk2beOGFF9ixYwft27dnyZIlFRucclDZgBMVWKysi08hKSOHdtYI25pb6vUqIiLiGlYrmLMdOzb/pOPH5WWd+ziTH5RzuVZvb28iImylhPXr1+fGG28sllAGBgbaj3nuuef4+uuv+fnnnxkzZgxgW2mrcH9kZCQtW7Zk6NChtG7dmkcffZSZM2eWKyaArKwsbr/9doYMGVIkUW7cuDFdu3bljjvuKNYdKiwszB5Ho0aNGDp0KJdffjm33347e/bswcPDo9xxOErJq5Ms2JrA1PnbSUjLAaCvMZdPvSD9yE6C3BybiIjIBcmcDS9EOfec0wc6dtykI+DlX+HL7N27lwULFpxzWVQfHx/y8/PLPKZOnTrcfPPNTJ8+nYKCgnInjgsXLiQ5OZlHH3201GMM50jUjUYjDzzwAFdffTUbNmyga9eu5YqhPFQ24AQLtiZwz8yN9sQVYJ/V9tuIZ+o+FmwpfRpfREREaoaffvqJgIAAfH19ady4Mdu3b+exxx4r8dj8/HxmzJjBli1buOSSS8557hYtWpCRkUFycvnLHnbt2gVA8+bN7dv++usvAgIC7I+ffvrJoRjAVhfrSpp5PU8FFitT52/n7G6uh6y1KbAa8DPk8u78P+nf+jo8jOX7eEFERETKYPKzzYA6InGzY7Oqty2AiHaOXbuc+vbty/vvv092djbTpk1j165d3HfffUWOeeyxx3jqqafIzc3Fy8uLRx55hLFjx57z3IUf6xfOkL7wwgu88MIL9v0nT55kzZo1jB8/3r7t119/5eKLLy7xfO3atSMuLg6Apk2bnnP2t6QYXEXJ63laF59SZMa1kBlPDllrE2NIwi9jP+viU+jROMwNEYqIiFygDAbHP7r39HX8uPMoByiLv78/TZo0AeCtt96ib9++TJ06lf/85z/2YyZOnMiYMWPw8/MjMjISq9VKenr6Oc+9Y8cOgoKCCAuz5Rp33303N9xwg33/zTffzLXXXss111xj31avXj3AlpwC7Ny5k+7duwO2+tzCWB21Y8cOABo2bFiu15WXktfzlJRRPHEttM8aQQxJxBoTyzxOREREap7JkyczaNAg7rnnHqKibLW74eHhRZLGs2+UKklSUhKzZs1i+PDhGI22itDQ0FBCQ0Ptx/j6+lKnTp0SE9IBAwYQGhrKSy+9xA8//FCh92KxWHjrrbdo2LAhHTt2rNA5HKWa1/NUJ9Cn1H3xp+peYw2JZR4nIiIiLuYXBp7eZR/j6W07rpL06dOH1q1bF/l4/1ysViuJiYkkJCSwY8cOpk+fTs+ePQkODua///1vheIICAhg2rRp/PzzzwwZMoTffvuNvXv3snnzZl5++WWAYjeBJScnk5iYyN69e5k3bx79+vVj3bp1fPLJJy7tNACaeT1vXRuGEhnsQ2JaTrG618Kbtlp4HaNrw9DiLxYREZHKERIN4zdUuRW2JkyYwNixY0u9cets6enpREZGYjAYCAoKonnz5tx666088MADBAVVvL/R1VdfzapVq3jppZe45ZZbSElJITg4mM6dOzN79myuvPLKIsf369cPAD8/P2JiYujbty8fffRRuUsNKkLJ63nyMBqYPLQV98zciAGKJLD7rXUB6ByYopu1RERE3C0k2m3Lv5a2QMDIkSMZOXIkcO679MeMGWPv91pey5YtO+cxnTt35ptvvinzmNjYWIdKGVxJZQNOMLBNJO+P6kREcNHSgEz/GAACsw6CxeKO0EREREQuKEpenWRgm0j+eOwy3h3ZCQCjAWY+fD0YPGyrdWQmujlCERERkepPyasTeRgNDGoTgcnDgMUKx05aoJZt9lXLxIqIiIicPyWvTmY0GqgXYusld+jESQhtZNuRouRVRERE5HwpeXWB+rVsq27YktfGto2aeRURERE5b0peXaB+rcKZ12wIO5W8pux1Y0QiIiIiFwYlr062+shq/sx5DA+/3UVnXpW8ioiIiJw3Ja9OZLVaeXPjm6TmH8K7zm8cPJEFoafW903Zq3ZZIiIiIudJyasTrTqyim3J2wDw8D3Evqy/ISQGjJ6QnwMZR9wcoYiIiEj1puTVSaxWK2///fYZzw1k+P6E2WqwJbCg0gERERGR86Tk1UnOnHUFMBisePge4pc9y0/ftKWOAyIiIlXC6iOrGTZ3GKuPrK6U640ZMwaDwYDBYMDT05MGDRpwzz33cOLECfsxsbGx9mP8/Pxo06YNH374oX1/QUEBL774Ii1atMDX15fQ0FC6d+/Op59+WuJ1TCYTjRo14pFHHiErK6vU2KZMmUKHDh2Kbd+3bx8Gg4G4uLgiz0t6rFmz5vwHyUGelXalC1jhrKvRYMRitZyx3cC0re9xVa1GGEC9XkVERKqAwntU9qbt5c2Nb9I9sjsGg8Hl1x04cCCffvop+fn5bN++ndtuu43U1FS++uor+zHPPvssd955J5mZmcyYMYN7770Xb29vxowZw5QpU/joo49455136Ny5M+np6axfv75IAnzmdcxmMytXruSOO+4gKyuL999/3ynvY/HixbRu3brItrCwMKec2xFKXp3g7FnXQgaDlX2ZO1kV0pxeAMkqGxAREXEWq9XKyfyT5X7dmiNr7P9vb0vextIDS+ke1b1c5/D19C13wuvt7U1ERAQA9evX58Ybb2TGjBlFjgkMDLQf89xzz/H111/z888/M2bMGObPn8+9997L9ddfbz++ffv2ZV5n5MiRLF26lLlz5zoteQ0LC7Of3x2UvJ6nwllXAwasWEs4wsDbqX/TEzBo5lVERMRpTuafpNusbud9ngeWPVDu16wduRY/k1+Fr7l3714WLFiAyWQq8zgfHx/y8/MBiIiI4Pfff+fee++ldu3aDl/L19cXs9lc4VirGiWv58lsMZOYlVhK4gpgJdGcgRnwSom3tcsyqtRYRESkpvnpp58ICAigoKCAnJwcAF577bUSj83Pz2fmzJls2bKFW2+91X7sddddR0REBK1bt6Znz54MGzaMQYMGlXrNdevWMWvWLC6//PIyY9uyZQsBAQFFtlmtJec2PXv2xHhWLpOWloaHh0eZ13AWJa/nycvDi9lXziYlJwWA1NxUxi0aB0BW/D20rRfKh1dfjNeudlCQC+mHISTanSGLiIhcEHw9fVk7cq3Dx1utVsb+NpadJ3YWuUfFaDDSvFZzPr3iU4dLAXw9fcsdb9++fXn//ffJzs5m2rRp7Nq1i/vuu6/IMY899hhPPfUUubm5eHl58cgjjzB27FgAWrVqxdatW9mwYQN//PEHK1asYOjQoYwZM4Zp06bZz1GYJOfn52M2mxk2bBhvv/02Bw4coFWrVvbjJk2axKRJkwBo3rw58+bNKxLL4cOH6dOnT7H3MWfOHFq2bFlkW2UlrqDk1Ski/COI8LfVflitVvxN/mSZs8DiQ3JKHSKC6kGtWEj+13bTlpJXERGR82YwGMr10f2fh/9kR8qOYtstVgs7UnYQdyyOXvV6OTPEIvz9/WnSpAkAb731Fn379mXq1Kn85z//sR8zceJExowZg5+fH5GRkVitVtLT0+37jUYjXbp0oUuXLjz00EPMnDmT0aNH8+STT9KwoW1hpMIk2WQyERUVZS9NyM/Pt3cOAAgNDbV/7eXlZY+tkKdnyWlidHR0sWMrkz6/djKDwUCDwAYAGL2Ok5CWQ36B5fQysWqXJSIiUunOvEelJAYMvP3326V+VO4KkydP5tVXX+XIkdOLGIWHh9OkSROioqIcmgUunEk9sxVWYZIcExNTpKbW09OTJk2a2B9nJq/ViZJXF4gJsi1KYPJJocBiJTE953SvVy1UICIiUunOdY+KFSuJWYmYLZV3Y1OfPn1o3bo1L7zwgkPHX3fddbz++uusXbuW/fv3s2zZMv7v//6PZs2a0aJFCxdHe1pycjKJiYlFHoU1vJVBZQMu0CDINvMaEJDKyeNw6MRJ6oc2su1U8ioiIlLpzr5HpSShPqF4eXhVYlQwYcIExo4dy2OPPXbOY6+44gq++uorXnzxRdLS0oiIiOCyyy5jypQppX7E7wr9+vUrtu2rr75ixIgRlXJ9Ja8uUDjz6umdDNiSVwqTV5UNiIiIuMWZ96hUtrP7uRYaOXIkI0eOBGwrWJXlzjvv5M4776zQdcoyZcoUpkyZUmx7bGxskTKKs5+7i8oGXKAwec33OArAoRPZp8sGTsSDpcBdoYmIiIhUa0peXSAm0Ja85lhPgCHPNvMaHA1GExTk2dpliYiIiEi5KXl1gRCfEIK8ggAweiXbZl6NHrZ2WaDSAREREZEKUvLqIoWlA0av47aZVzij44CSVxEREZGKUPLqIoUdB4xeySX0elXHARERkYqqCjcNSfk56/um5NVFCutePb2Tz+j1qnZZIiIiFVXYcD87O9vNkUhFFH7fzlw4oSLUKstFCssGvP2SyebsXq8qGxARESkvDw8PQkJCSEpKAsDPz8+hVaiqM4vFQl5eHjk5ORiN1XPO0Wq1kp2dTVJSEiEhIXh4eJzX+ZS8ukhh8ornceBUr9dGhe2y9tnaZRnP75snIiJS00RE2Pq0FiawFzqr1crJkyfx9fWt9ol6SEiI/ft3PpS8ukhhzWu+IR2MObaOA8GNwcPL1i4r7eDp7gMiIiLiEIPBQGRkJHXq1MFsrrylXN3FbDazYsUKLrnkkvP+uN2dTCbTec+4FlLy6iKBXoGE+oSSkpNyql3WyVPtshrC8Z22ulclryIiIhXi4eHhtGSoKvPw8CA/Px8fH59qnbw6U/UsnqgmGgSe6jhgOm6beQUtEysiIiJyHpS8utDpdlkl9XpVxwERERGR8lLy6kKxQbGALXk93etVM68iIiIiFaXk1YUKZ149TvV6TUjL0cyriIiIyHlQ8upChe2yPLyTgVPtsgpnXk/sg4J8N0UmIiIiUj0peXWhwhu2rMYsMGbbbtoKqg8e3mAx29pliYiIiIjDlLy6kJ/Jj9q+tQHOaJdlhNCGtgO00paIiIhIuSh5dbESOw6EFta9xrspKhEREZHqScmrixXWvdqS18Jer6dmXtVxQERERKRclLy6WNHk9exer0peRURERMpDyauLxQQWJq/JJKYX9no9lbxq5lVERESkXJS8utiZNa8FFkvRXq+p+9UuS0RERKQc3Jq8rlixgqFDhxIVFYXBYGDu3LnFjtmxYwdXXXUVwcHBBAYG0r17dw4cOFD5wVZQdGA0AAaPHAweWbbSgcAo8PQBSz6kVZ/3IiIiIuJubk1es7KyaN++Pe+8806J+/fs2UPv3r1p0aIFy5YtY9OmTTz99NP4+PhUcqQV5+PpQ4R/BAAGr2TbTVtGI9QqvGlLK22JiIiIOMrTnRcfNGgQgwYNKnX/k08+yeDBg3n55Zft2xo1alQZoTlVTGAMiVmJGL2OFb1p69iOUzdt9XNrfCIiIiLVhVuT17JYLBZ+/vlnHn30Ua644gr+/vtvGjZsyBNPPMHw4cNLfV1ubi65ubn25+np6QCYzWbMZrOrwy5RdEA0a1mL0SuZAylZmM1mjCGxeAAFx//Fciou81l/Ssk0To7RODlOY+UYjZNjNE6O0Tg5pqaMU3nen8FqtVpdGIvDDAYDP/zwgz0xTUxMJDIyEj8/P5577jn69u3LggULmDRpEkuXLuXSSy8t8TxTpkxh6tSpxbbPmjULPz8/V76FUv2Z8ye/5vyKOb0t9TNGcl/rAmKOL6XDwU85GtSONY0fcUtcIiIiIlVBdnY2I0eOJC0tjaCgoDKPrbLJ65EjR6hXrx433XQTs2bNsh931VVX4e/vz1dffVXieUqaeY2Ojub48ePnHAxXWX5oOQ+teIiCnEhqnXiMZQ9fgmHfSjy/vBprrYbk3/sXYPutY9GiRfTv3x+TyeSWWKsDjZNjNE6O01g5RuPkGI2TYzROjqkp45Senk54eLhDyWuVLRsIDw/H09OTVq1aFdnesmVL/vjjj1Jf5+3tjbe3d7HtJpPJbd/0RqG2Ot3CXq8GoweedZoDYEg9gMkIeJyOzZ2xVicaJ8donBynsXKMxskxGifHaJwcc6GPU3neW5Xt8+rl5UWXLl3YuXNnke27du0iJibGTVFVTHRANEaDEYMxD4sx3dbrNTASPH3BWgCpapclIiIi4gi3zrxmZmby77//2p/Hx8cTFxdHaGgoDRo0YOLEidx4441ccskl9prX+fPns2zZMvcFXQEmDxOR/pEczjxsXyY2OtQPQhtB0jZI2Xt64QIRERERKZVbZ17Xr19Px44d6dixIwATJkygY8eOPPPMMwBcffXVfPDBB7z88su0bduWadOm8d1339G7d293hl0hsUGxAKeS12zbxtDCXq9aJlZERETEEW6dee3Tpw/nul/stttu47bbbqukiFynQVAD/jzyJwZTctFer3Cq16uIiIiInEuVrXm90MQE2ep0C8sGAAgtTF61ypaIiIiII5S8VpIGgQ2As8oGCmdeVTYgIiIi4hAlr5Xk9MxrMgdPZNk2nmqhReoBKLiwV84QERERcQYlr5UkKiAKD4MHBmM+SdlHyS+w2Nplmfxs7bJO7Hd3iCIiIiJVnpLXSuJp9KR+YH0ArJ7Hbb1eDYbTs6+qexURERE5JyWvlajkm7YKk1fVvYqIiIici5LXSlTiTVuFyatu2hIRERE5JyWvlejMm7bU61VERESk/JS8VqIGQbaZV0NJvV418yoiIiJyTkpeK9HpmdcUDp7ItG0snHlNOwgFeW6KTERERKR6UPJaiSL8IvA0eGEwFHAw/bBtY0BdMPmD1QKpapclIiIiUhYlr5XIw+hBvYB6ABzPPYy5wFKkXZZB7bJEREREyqTktZI1Co61fWE6TmJaju3rMCWvIiIiIo5Q8lrJYoJP93o9aG+Xdaru9US8m6ISERERqR6UvFaywo4DRdplqWxARERExCFKXitZTGAJq2yd6jig5FVERESkbEpeK1lhuyyD6QQHUtJtGwvLBtIPYbSY3RSZiIiISNWn5LWS1fGrg8nojcFgIT7tkG1jQB3wCsBgteCXd8y9AYqIiIhUYUpeK5nBYCDCtz4ACVkHCzdCaEMA/HOPuis0ERERkSpPyasbxJ7qOJBqPmLr9Qr20oGA3ER3hSUiIiJS5Sl5dYOmtWyzrIYivV5tyatmXkVERERKp+TVDWLtvV6Ti/V6VfIqIiIiUjolr25Q2HHA6HWsWK/XACWvIiIiIqVS8uoGhQsVGExp7EtJs208VTbgm5cM+TnuCk1ERESkSlPy6gZhPmGYDL4YDFb+Tdlv2+hfG6tXAAascGK/ewMUERERqaKUvLqBwWCgtk89AA5mHCjceHqZ2BNaaUtERESkJEpe3aR+gK104FjOYfs2a2EXAi0TKyIiIlIiJa9u0iw0FoDMggR7r1dr4TKxSl5FRERESqTk1U1ahNsSVYPX6V6vVpUNiIiIiJRJyaubnO71evyMXq+nkteUeHeFJSIiIlKlKXl1k5jAU8mrKZ345BPA6ZpX0g+DWe2yRERERM6m5NVNQnxCMOEPwI7jp2Za/cIxG31PtcvS7KuIiIjI2ZS8ulEtrygA4tNO9XU1GMjyrmv7OnmPm6ISERERqbqUvLpRpH80AAlZB+3bMr0jbF+o44CIiIhIMUpe3ahRcCwAqeYj9m1Z3nVsX6Ro5lVERETkbEpe3ahVbVt3gRyO2nu9ZhXOvKpsQERERKQYJa9u1KZ28V6vmT6nal5VNiAiIiJSjJJXN4op7PXqmcmuY8eAM2Ze0w+D+aS7QhMRERGpkpS8ulGgVyCe1kAAtibZZlrzPAKwegfZDtBiBSIiIiJFKHl1s0DPSAB2n9hn22Aw2JeJ1U1bIiIiIkUpeXWzOj71ATiUsf/0xsLkVTdtiYiIiBSh5NXNGgQ1AOB4zmH7NmutwplX3bQlIiIiciYlr27WLLQhABmWBPu202UDSl5FREREzqTk1c3a1bW1yyowHiMv39brVWUDIiIiIiVT8upm7es2AcDgmc2/yUnAGWUDGUcgL9tdoYmIiIhUOUpe3czfyx9jga011qajp2Za/ULBJ8T29Qm1yxIREREppOS1CvAz2hYm+Of4GYlqmK2cQKUDIiIiIqcpea0CQr3qAbA/48AZG9XrVURERORsSl6rgCj/aACOnjx0emOoZl5FREREzqbktQpoFBILQJr5dLsse9mAlogVERERsVPyWgW0rm0rEcgxHMVqtdo2Fs68qmxARERExE7JaxXQMepUomrMIb3gVGusU4sXkJEAeVnuCUxERESkilHyWgXUDw7Gag4BYH/ecdtGv1DwrWX7WittiYiIiABKXqsEg8GAl7UOAIfyUk7v0E1bIiIiIkUoea0igj2jAEgqOH56o/2mLc28ioiIiICS1yqjjq+t1+sJS/Lpjer1KiIiIlKEktcqIiYoBoBMzkxeC8sGNPMqIiIiAm5OXlesWMHQoUOJiorCYDAwd+7cUo8dN24cBoOBN954o9Liq0zNw2zdBfI8kk+3ywrTzKuIiIjImdyavGZlZdG+fXveeeedMo+bO3cua9euJSoqqpIiq3xt6zbCajVgNeZx/OSputfCsoHMo5Cb6b7gRERERKoIT3defNCgQQwaNKjMYw4fPsz48eP57bffGDJkSCVFVvliw4Kwmmth8EphT+o+ooKjbK2yfEPhZIrtpq3Idu4OU0RERMSt3Jq8novFYmH06NFMnDiR1q1bO/Sa3NxccnNz7c/T09MBMJvNmM1ml8TpDCHeRjCHg1cKm4/upntUFwA8QhthPJxC/rFdWMNbujnKqqHw+1iVv59VgcbJcRorx2icHKNxcozGyTE1ZZzK8/6qdPL60ksv4enpyf333+/wa1588UWmTp1abPvChQvx8/NzZnhOZ8oPowBYuWMt9RNCAOiU7U00sGv1r+yON7kzvCpn0aJF7g6hWtA4OU5j5RiNk2M0To7RODnmQh+n7Oxsh4+tssnrhg0bePPNN9m4cSMGg8Hh1z3xxBNMmDDB/jw9PZ3o6GgGDBhAUFCQK0J1mvc+38IRVpPnb2bw4MEAGFduhxV/0qK2F01PbavpzGYzixYton///phMSuhLo3FynMbKMRonx2icHKNxckxNGafCT8odUWWT15UrV5KUlESDBg3s2woKCnj44Yd544032LdvX4mv8/b2xtvbu9h2k8lU5b/p9QIacCQHjuUePh1r7aYAGFPjMVbx+CtbdfieVgUaJ8dprByjcXKMxskxGifHXOjjVJ73VmWT19GjR9OvX78i26644gpGjx7N2LFj3RSVazUOieGvREjPT8RitWA0GE93HNASsSIiIiLuTV4zMzP5999/7c/j4+OJi4sjNDSUBg0aEBYWVuR4k8lEREQEzZs3r+xQK0WL8BisCUYsBjNHs44SGRB5eonYrCTISQefql36ICIiIuJKbu3zun79ejp27EjHjh0BmDBhAh07duSZZ55xZ1hu06CWP9a8UAD2Z+y3bfQJBr9w29cn4t0UmYiIiEjV4NaZ1z59+pxeTcoBpdW5Xijq1/LFkheO0fs4e0/so3tkd9uO0EaQfdxWOhDZ3r1BioiIiLiRW2depagwfy8w20ol/kk+Y5a1sHRAy8SKiIhIDafktQoxGAz4Wm3J654T+07vCD2VvCbvrfygRERERKoQJa9VTDC25PVw1oHTG8NOdRxIUfIqIiIiNZuS1yom3MN2c9aJvETyLfm2jYXtslQ2ICIiIjWcktcqpq4pCKvFEwv5JGQl2DYWlg1kHbO1yxIRERGpoZS8VjFh3kYsZlu7rAPpp0oHfILAv7bta82+ioiISA2m5LWKCfW2YsmzlQ7sT99/xo7CjgOqexUREZGaS8lrFRPqDdZTyWt82pnJa+EysUpeRUREpOZS8lrFBJrAmG9LXnefOcsappu2RERERMqdvG7cuJEtW7bYn//4448MHz6cSZMmkZeX59TgaiKDAcK86wNwIOOMdln2Xq9KXkVERKTmKnfyOm7cOHbt2gXA3r17GTFiBH5+fnzzzTc8+uijTg+wJqofYEtej+ckYraYbRvDVPMqIiIiUu7kddeuXXTo0AGAb775hksuuYRZs2YxY8YMvvvuO2fHVyPFBkditZiwYuFwxmHbxsKa1+zjkJPmvuBERERE3KjcyavVasVisQCwePFiBg8eDEB0dDTHjx93bnQ1VP1afljybCtt2UsHvAPBv47ta5UOiIiISA1V7uS1c+fOPPfcc3zxxRcsX76cIUOGABAfH0/dunWdHmBNVL+Wb8ntslQ6ICIiIjVcuZPX119/nY0bNzJ+/HiefPJJmjRpAsC3335Lz549nR5gTVQvxEe9XkVERERK4FneF7Rv375It4FCr7zyCp6e5T6dlODMmdd9RXq9NrT9qbIBERERqaHKPfPaqFEjkpOTi23PycmhWbNmTgmqpgvz98KzwLYcbHzavjN2FM68KnkVERGRmqncyeu+ffsoKCgotj03N5dDhw45JaiazmAwEOlna5d17ORRcgtybTvU61VERERqOIc/5583b579699++43g4GD784KCApYsWULDhg2dG10NFh1Sl2MF3uCRy6GMQzQOaXy6XdbJFDh5AnxruTdIERERkUrmcPI6fPhwwDYreOuttxbZZzKZiI2N5X//+59Tg6vJomv5sf5oOB6+h9mfvt+WvHoHQEBdyDxqu2mr3kXuDlNERESkUjmcvBb2dm3YsCF//fUX4eHhLgtKTvV6PRhmT17tQhvbktdkJa8iIiJS85S75jU+Pl6JayUovdfrqdIB3bQlIiIiNVC5k1eA5cuXM3ToUJo0aULTpk256qqrWLlypbNjq9HOTF7tq2yBer2KiIhIjVbu5HXmzJn069cPPz8/7r//fsaPH4+vry+XX345s2bNckWMNZJtidhTM69pJayypY4DIiIiUgOVe1WB559/npdffpmHHnrIvu2BBx7gtdde4z//+Q8jR450aoA1VXiAFyaLrddr0skkTuafxNfT93THAZUNiIiISA1U7pnXvXv3MnTo0GLbr7rqKuLj450SlNi6OtQPDsda4AvAgfRTpQP2dlknIDvFTdGJiIiIuEe5k9fo6GiWLFlSbPuSJUuIjo52SlBiU6R0oPCmLS9/CIy0fZ2iXxZERESkZil32cDDDz/M/fffT1xcHD179sRgMPDHH38wY8YM3nzzTVfEWGPVr+XL2oPhePgeLH7TVkaCrXSgvtpliYiISM1R7uT1nnvuISIigv/97398/fXXALRs2ZI5c+YwbNgwpwdYk9Wv5YdlTxhwVrus0Iaw/w/dtCUiIiI1TrmTV4Crr76aq6++2tmxyFmKtMtKP2PmtbDjgG7aEhERkRqmQn1epXKUulCBer2KiIhIDeXQzGutWrUwGAwOnTAlRXfAO8uZN2wl5ySTmZdJgFeAer2KiIhIjeVQ8vrGG2+4OAwpSXiAFz4efljy/TF6ZrE/Yz+tw1pDrYa2A3JSbe2y/ELdGqeIiIhIZXEoeb311ltdHYeUwGAwUL+WH4fzwjF6ZnEg/YAtefXyg8AoyDhim31V8ioiIiI1hMM1rxaLhfz8/CLbjh49ytSpU3n00Uf5448/nB6c2OperSXVveqmLREREamBHE5eb7/9du69917784yMDLp06cK7777Lb7/9Rt++ffnll19cEmRNVmrHAfsysbppS0RERGoOh5PXP//8k+uuu87+/PPPPyc/P5/du3ezadMmJkyYwCuvvOKSIGsy201bp3q9ZpzZceBU8qqbtkRERKQGcTh5PXz4ME2bNrU/X7JkCddeey3BwcGArS5227Ztzo+whlOvVxEREZHTHE5efXx8OHnypP35mjVr6N69e5H9mZmZzo1Oisy8puamkpabZttR2Os1eS9YrW6KTkRERKRyOZy8tm/fni+++AKAlStXcvToUS677DL7/j179hAVFeX8CGu4+rV8weqNxRwEnHHTVuipdlm5abZ2WSIiIiI1gMPJ69NPP80bb7xB48aNueKKKxgzZgyRkZH2/T/88AO9evVySZA1WZi/Fz4m4+m618Lk1eQLQfVsX6t0QERERGoIh/q8AvTt25cNGzawaNEiIiIiuP7664vs79ChA127dnV6gDVdYa/Xg3nh4B/PgYyzOg6kH7bdtBWtsRcREZELn8PJK0CrVq1o1apVifvuuusupwQkxdWv5cuBY6X0et23UjOvIiIiUmM4XDYg7lO/li8Ws61soGiv18KOA+r1KiIiIjWDktdqwNZx4PTMq7Wwu4B6vYqIiEgNo+S1GrD1erXNvGaaM0nJOdVdIOyMmVe1yxIREZEaQMlrNVC/lh9YTRjyawGcvmmrVkPAALnpkHXcfQGKiIiIVJIKJa+pqalMmzaNJ554gpQU2yzgxo0bOXz4sFODE5v6tXwBMOee3S7LB4Lr275W3auIiIjUAOVOXjdv3kyzZs146aWXePXVV0lNTQVsfV6feOIJZ8cnFO/1WvSmrVOLFajjgIiIiNQA5U5eJ0yYwJgxY9i9ezc+Pj727YMGDWLFihVODU5sCnu9nnnTlp19mVglryIiInLhK3fy+tdffzFu3Lhi2+vVq0diYqJTgpLizrxpq8hCBfabtpS8ioiIyIWv3Mmrj48P6enpxbbv3LmT2rVrOyUoKa5+LV+sJbbLUq9XERERqTnKnbwOGzaMZ599FrPZDNg+0j5w4ACPP/441157rdMDFBtb2UAoYOBk/kmOnTxm22Hv9ap2WSIiInLhK3fy+uqrr3Ls2DHq1KnDyZMnufTSS2nSpAmBgYE8//zzrohRKOw44InJclbHgVqxgAHyMiDrmLvCExEREakUnuV9QVBQEH/88Qe///47GzduxGKx0KlTJ/r16+eK+OSU+rX8AGw3bfkc50D6Abr4REB2MgTUhcxE2LkAItudfpFfGIREuyliEREREecrd/Ja6LLLLuOyyy5zZixShsJerydP1sLLB/Yf2wpf3wP5uacPmn9f0Rd5esP4DUpgRURE5IJRoeR13bp1LFu2jKSkJCwWS5F9r732mlMCk6IKe70W5Npu2jqQvq9o4lqS/FzbzKySVxEREblAlLvm9YUXXqB79+58+umnrF+/nr///tv+iIuLK9e5VqxYwdChQ4mKisJgMDB37lz7PrPZzGOPPUbbtm3x9/cnKiqKW265hSNHjpQ35AtCsV6vWQlujkhERESk8pV75vXNN99k+vTpjBkz5rwvnpWVRfv27Rk7dmyxTgXZ2dls3LiRp59+mvbt23PixAkefPBBrrrqKtavX3/e166O6tfyZc8JW/J68GQSFiq4vq+IiIhINVXu5NVoNNKrVy+nXHzQoEEMGjSoxH3BwcEsWrSoyLa3336brl27cuDAARo0aFDi63Jzc8nNPf1xemFPWrPZbG/vVVUVxldanFHB3ljNIRjwINdi5qiHB5EFBWWfMz8fqvj7Lq9zjZPYaJwcp7FyjMbJMRonx2icHFNTxqk8789gtZavOejLL7/MkSNHeOONN8obV9mBGAz88MMPDB8+vNRjFi9ezIABA0hNTSUoKKjEY6ZMmcLUqVOLbZ81axZ+fn7OCtctlhw2MO+AB6FNX8XseZyPE47SPafsutdlzZ8lzS+2cgIUERERqYDs7GxGjhxJWlpaqTleoXInrxaLhSFDhrBr1y5atWqFyWQqsv/7778vf8ScO3nNycmhd+/etGjRgpkzZ5Z6npJmXqOjozl+/Pg5B8PdzGYzixYton///sXGFeCXLYk88PVmIpp+SZbnFp4+nsINGZlln/O2JRDZ3lUhu8W5xklsNE6O01g5RuPkGI2TYzROjqkp45Senk54eLhDyWu5ywbuu+8+li5dSt++fQkLC8NgMFQ4UEeZzWZGjBiBxWLhvffeK/NYb29vvL29i203mUzV5pteWqwxtQMByM0JhQDYbzr3t8/k6QnV5H2XV3X6nrqTxslxGivHaJwco3FyjMbJMRf6OJXnvZU7ef3888/57rvvGDJkSHlfWiFms5kbbriB+Ph4fv/99yo/e+pKhb1eMzND8AmA/V7Fk/QiPL1tCxWIiIiIXCDKnbyGhobSuHFjV8RSTGHiunv3bpYuXUpYWM1OxAp7vZpP9XrdX7sxXPX16QNOnoAvrwNLPgx/H2IvVo9XERERuaCUu9PSlClTmDx5MtnZ2ed98czMTOLi4uz9YePj44mLi+PAgQPk5+dz3XXXsX79er788ksKCgpITEwkMTGRvLy88752dXR2r9dD2YnkR7SBqA62R+O+0PZ628F7lipxFRERkQtOuWde33rrLfbs2UPdunWJjY0tVqOwceNGh8+1fv16+vbta38+YcIEAG699VamTJnCvHnzAOjQoUOR1y1dupQ+ffqUN/QLQv1avvybFIyHwUS+xUxCVgLRgWckqd3GwaavYNsPMOA5CKzrvmBFREREnKzcyWtZrazKq0+fPpTV7KCcjRBqhOhafoCRAI+6pOUf4kD6gaLJa1RHqN8VDq2DDZ9Cn8fdFquIiIiIs5U7eZ08ebIr4hAHFd60ZbLUAQ6xP30/veqdtWhEt3G25HX9dOg9ATy9Kj9QERERERfQ6qLVTP1atoUWCnJtN6/tT99f/KBWwyAgAjKPwvYfKzM8EREREZdyKHkNDQ3l+PHjANSqVYvQ0NBSH+JahTOvWZm1ANifUULy6mGCzrfZvl73YWWFJiIiIuJyDpUNvP766wQG2hrkO3tZWCmfwuQ1NT0Yv1pwIP1AyQd2HgsrXoFDf8HhDVDvokqMUkRERMQ1HEpeb731Vi677DK+//57br31VlfHJGUI9ffC1+RBzql2WUcyj2C2mDEZz1qZIqAOtLkGNs+BtR/BNZqBFRERkerP4ZrXZcuW1dj+qlWJrderL9b8ILyMPhRYCziccbjkg7uOs/257XvITKq8IEVERERcRDdsVUO20gEDIaZIAA5klFI6UP8iqNcZCvJgw4xKi09ERETEVcqVvGZkZJCenl7mQ1yvsOOAD3UA2Je2r/SDu52afV0/HQrMLo5MRERExLXK1ee1WbNmpe6zWq0YDAYKCgrOOygpW+FNW4Z8W/Ja6swrQKvhsPApyEiAHfOgzbWVEKGIiIiIa5Qref3222/VDqsKKJx5zcmuBd6l9Hot5OkFF42F5f+FtR8qeRUREZFqrVzJa69evahTp46rYhEHndkui9pltMsq1HksrHwVDq6FI3EQ1cHlMYqIiIi4gm7YqoYKk9fkE0EAJGQlkFuQW/oLAiOg9dW2r9d95OrwRERERFzG4eQ1JiYGDw8PV8YiDirs9WotCMDX0w8rVg5lHCr7RYVts7Z8C1nHXR+kiIiIiAs4nLzGx8cTFhbmyljEQYW9XsFAuHc9APal7yv7RfU7Q1RHKMhV2ywRERGptlQ2UE0Vlg4Eepzq9XquuleDAbrdbftabbNERESkmlLyWk0VdhzwLKgNnKPjQKHWV4N/bUg/DP/85MrwRERERFxCyWs1VTjzas4NB87R67WQp7etbRbAWt24JSIiItWPktdqqnDmNTMzBHBw5hWg821g9IQDqyBhs4uiExEREXENh/q8vvXWWw6f8P77769wMOK4wpnX4ycCIRKSspPINmfjZ/Ir+4VBkdDyKtj2Paz7EIa9WwnRioiIiDiHQ8nr66+/XuT5sWPHyM7OJiQkBIDU1FT8/PyoU6eOktdKUpi8JqV6Ui8miPS8dA5mHKR5aPNzv7jb3bbkdcu30O9Z8FcXCREREakeHCobiI+Ptz+ef/55OnTowI4dO0hJSSElJYUdO3bQqVMn/vOf/7g6XjmlsNcrQIRfNFCO0oHorhDZHvJzYONnrgpRRERExOnKXfP69NNP8/bbb9O8+ekZvubNm/P666/z1FNPOTU4Kd3pXq8QYrK1y3p+7fOsPrLakRefXrTgr0+gIN9VYYqIiIg4VbmT14SEBMzm4j1CCwoKOHr0qFOCEscUJq9eljoApOSk8ObGN7Fared+cZtrwS8M0g/Bzl9cGaaIiIiI05Q7eb388su58847Wb9+vT1JWr9+PePGjaNfv35OD1BKV9hxIPVktn3btuRtrDqy6twvNvnARWNsX6/90AXRiYiIiDhfuZPX6dOnU69ePbp27YqPjw/e3t5069aNyMhIpk2b5ooYpRS2mVcre7PX2bcZDUbe/vttx2ZfO98OBg/Y/wckbnVdoCIiIiJO4lC3gTPVrl2bX375hV27dvHPP/9gtVpp2bIlzZo1c0V8Uob6tfzw8N9NNkfs2yxWi332tVe9XmWfILgetBwK2+fa2mZd9bZrAxYRERE5TxVepCA2NpbmzZszZMgQJa5uUi/EB+/aC8FqKLK9XLOv3U7duLX5G8hOcUGUIiIiIs5T7uQ1Ozub22+/HT8/P1q3bs2BA7ZlSe+//37++9//Oj1AKV1C3iY8fA+BoWiSeubs6zk16AERbSH/JPz9hYsiFREREXGOcievTzzxBJs2bWLZsmX4+PjYt/fr1485c+Y4NTgpndVq5bN/PsB61qxrIQMGx2Zfz2ybtW4aWAqcHKmIiIiI85Q7eZ07dy7vvPMOvXv3xmA4nTi1atWKPXv2ODU4KZ3ZYiYxKxGDoeTk1IqVxKxEzJbibc2KaXsd+IZC2gHY+auTIxURERFxnnInr8eOHaNOnTrFtmdlZRVJZsW1vDy8mH3lbFpaniEr/j7Gxr7JnCvn0CWiCwCXRV/G7Ctn4+Xhde6TmXzholttX69T2ywRERGpusqdvHbp0oWff/7Z/rwwYf3444/p0aOH8yKTc4rwj6B5rZZYcuqRfzKKVmGt+L8O/wfAn0f+xNvD2/GTdb4dDEaIXwFHt7soYhEREZHzU+5WWS+++CIDBw5k+/bt5Ofn8+abb7Jt2zZWr17N8uXLXRGjlKFwla1DJ04C0KlOJ1qFtWJ78na+3vk149qPc+xEIdHQYgjsmA/rPoKhb7goYhEREZGKK/fMa8+ePfnzzz/Jzs6mcePGLFy4kLp167J69WouuugiV8QoZShcZevQCdsqWwaDgdGtRgMwe+ds8gryHD9Zt7ttf26eAydPODVOEREREWco98wrQNu2bfnss8+cHYtUwNkzrwBXxFzB6+tfJ+lkEgv2LeCqxlc5drKYXlCnNSRtg79nQs/7XBGyiIiISIWVe+Z148aNbNmyxf78xx9/ZPjw4UyaNIm8vHLM8olTRIfaZl6TMnLJMdvaXJk8TNzU8iYAvtj+hWOLFYCtbVbhogXrPlbbLBEREalyyp28jhs3jl27dgGwd+9ebrzxRvz8/Pjmm2949NFHnR6glK2Wnwk/Lw8AjqSenn29vtn1+Hj48E/KP6w/ut7xE7a9HnxCIHU/7PrNydGKiIiInJ9yJ6+7du2iQ4cOAHzzzTdceumlzJo1ixkzZvDdd985Oz45B4PBUGLpQLB3sL1c4PPtnzt+Qi8/6HSL7Wu1zRIREZEqptzJq9VqxWKxALB48WIGDx4MQHR0NMePH3dudOKQeiG25PXnzQms3pNMgcVWJjCq1SgAlh9czoH0A46fsMsdtrZZe5dB0j/ODldERESkwsqdvHbu3JnnnnuOL774guXLlzNkyBAA4uPjqVu3rtMDlLIt2JrA2vgUAOasP8hNH6+h90u/s2BrAg2DG3JxvYuxYmXmjpmOn7RWDDS3/VLCuo9cELWIiIhIxZQ7eX3jjTfYuHEj48eP58knn6RJkyYAfPvtt/Ts2dPpAUrpFmxN4J6ZG8nOK3pjVWJaDvfM3MiCrQn2tllz/51Lel664yfvepftz02z4WSqkyIWEREROT/lbpXVrl27It0GCr3yyit4eHg4JSg5twKLlanzt1NSHwErYACmzt/Oykf70rRWU3af2M13u75jbJuxjl2g4SVQuyUc2wFxX0KP/3Ni9CIiIiIVU+6Z19L4+PhgMpmcdTo5h3XxKSSk5ZS63wokpOXw174TjG5pm32d9c8szBazYxcwGKDbqdnXdR/DqTpnEREREXdyOHk1Go14eHgUe9SqVYvu3bvz/fffuzJOOUtSRumJ69nHDW40mFCfUBKzElm8f7HjF2l3I/gEw4l4+HdRBSMVERERcR6HywZ++OGHErenpqaybt06Ro0axWeffcb111/vtOCkdHUCfRw+ztvDmxub38j7m97ni+1fMDB2IAaD4dwv9vKHjqNh9Tuw9gNodsV5Ri0iIiJyfhxOXocNG1bqvltvvZVWrVrx6quvKnmtJF0bhhIZ7ENiWk6Jda8AkcE+dG0YCsANzW9g2pZpbDm+hU3HNtGhTgfHLtTlDlj9Luz5HY7vhvCmTolfREREpCKcVvM6YMAA+8pb4noeRgOTh7YCbDdnleT+y5vgYbTtDfcNZ0gjW1uzci1aENoQmg+yfa22WSIiIuJmTkteT548iY+PYx9li3MMbBPJ+6M6ERFcdNw9TyWs3288TH7B6RutCttmLTmwhMOZhx2/UGHbrLhZkFOOdlsiIiIiTua05PXjjz+mY8eOzjqdOGhgm0j+eOwyvrqzO2+O6MBXd3Zn4UOXEOjtyV/7TvC/Radnw5vVakb3yO5YrBZm7Zjl+EUa9YHw5pCXaUtgRURERNzE4ZrXCRMmlLg9LS2N9evXs2fPHlauXOm0wMRxHkYDPRqHFdn232vb8X+zNvL+sj10bRhK3+Z1ANvs65qENXy/+3vu7XAv/ib/c1+gsG3Wzw/bSge63gVGp/3eIyIiIuIwhzOQv//+u8TH8ePHGThwINu2bdPMaxUypF0kt/SIAWDCnDgS0k4C0Lteb2KDYsk0Z/LD7pI7SJSo3QjwDoaUPbBniStCFhERETknh2dely5d6so4xAUmDW7JxgMn2Ho4nftm/c3su7rj6WFkdKvR/GfNf5i5YyY3tbgJD6MDK6N5B0DHUbDmXVj7ITTt7/o3ICIiInIWffZ7AfMxefDuyE4Eenuyfv/p+tehjYcS7B3M4czDLDu4zPETdr0DMNgWLDj+rytCFhERESmTktcLXEyYPy9d1w6A95ftYek/Sfh6+nJ9M1s/3vK1zWoETQfYvv7rY2eHKiIiInJOSl5rgMFtI7m1sP716ziOpJ5kRPMReBo82Zi0kW3J2xw/Wbdxtj///hJyM1wQrYiIiEjplLzWEJOGtKRNvSBOZJu576u/CfWpzRUNbcu9frH9C8dP1KgvhDWFvAyI+8pF0YqIiIiUzK3J64oVKxg6dChRUVEYDAbmzp1bZL/VamXKlClERUXh6+tLnz592LatHLOEYuftebr+dcP+E/xv4S77ogW/xf/G0ayjjp3IaIS2p5YAXvUWHP4bjsQVfaQedME7EBEREXFz8pqVlUX79u155513Stz/8ssv89prr/HOO+/w119/ERERQf/+/cnI0MfVFXFm/esHy/eQdKw2nep0It+az+ydsx07SepBWPk/29dpB+HjPvDRpUUf71ykBFZERERcwq3J66BBg3juuee45ppriu2zWq288cYbPPnkk1xzzTW0adOGzz77jOzsbGbN0ipPFXV2/euVMTcC8M2ubziZf/LcJ8hOhoLcso/Jz7UdJyIiIuJkDvd5rWzx8fEkJiYyYMAA+zZvb28uvfRSVq1axbhx40p8XW5uLrm5p5Or9PR0AMxmM2az2bVBn6fC+Fwd58QBTVm/P4VtRzKYtSyIenXqcTjrMHN3zeW6pteV/eL8fEwOXMOcnw8ueh+VNU7VncbJcRorx2icHKNxcozGyTE1ZZzK8/6qbPKamJgIQN26dYtsr1u3Lvv37y/1dS+++CJTp04ttn3hwoX4+fk5N0gXWbRokcuvcU1d2HPUg78PpNPa2AF8D/PRho/w2eWD0VD6hHxw9j76OHD+P//8kzS/w84Kt0SVMU4XAo2T4zRWjtE4OUbj5BiNk2Mu9HHKzs52+Ngqm7wWMhgMRZ5brdZi2870xBNPMGHCBPvz9PR0oqOjGTBgAEFBQS6L0xnMZjOLFi2if//+mEyOzG+enzrNj3Lf7E1sO9CV2i2XctxynJAOIfSu17v0FyVsgp3nPnevXr0gsr3zgj1DZY9TdaVxcpzGyjEaJ8donByjcXJMTRmnwk/KHVFlk9eIiAjANgMbGRlp356UlFRsNvZM3t7eeHt7F9tuMpmqzTe9smId2qE+Gw6kMWPVPnJTu0DQcmbtmkXf2L6lv8jTsb8yJk9PcPF7qE7fU3fSODlOY+UYjZNjNE6O0Tg55kIfp/K8tyrb57Vhw4ZEREQUmSbPy8tj+fLl9OzZ042RXVieGNyCtvWCyUjqBlYDaxLWsOvELneHJSIiIlIityavmZmZxMXFERcXB9hu0oqLi+PAgQMYDAYefPBBXnjhBX744Qe2bt3KmDFj8PPzY+TIke4M+4JS2P81wFgHc0YbAGZun+nmqERERERK5tbkdf369XTs2JGOHTsCMGHCBDp27MgzzzwDwKOPPsqDDz7IvffeS+fOnTl8+DALFy4kMDDQnWFfcBqE+fHyde3IS7HVus7f8xPJJ0tpdeUXBp7FyzKKMHrajhMRERFxMrfWvPbp0wer1VrqfoPBwJQpU5gyZUrlBVVDDWobyei9l/BNwk/ge5Bpm77kse73Fz8wJBrGbyi5j2vcl7DuIzB4QE4aEO3yuEVERKRmqbI1r1L5Jg1pSQT9Afjqn9lk5pWyaEFINER1KP4Y+BI0HWBbxOCbWyFXK6GJiIiIcyl5FTtvTw+mXXs75AdTYMjgwfnTy3cCoxGGfwBB9SD5X5j/IJQxsy4iIiJSXkpepYhGtYMYEnM9AKuOz2Xx9sTyncA/DK6bbisd2PotbPzMBVGKiIhITaXkVYqZdMlYPPDGwyeRh3/6lsOppZQPlKZBd7jcdtMdvzwKiVucH6SIiIjUSEpepZggryCubXY1AHn+y7hv1kbMBZbynaTn/WfUv45R/auIiIg4hZJXKdGtrUdjwIBnwE7iEnfx6m8OrAl7JtW/ioiIiAsoeZUSNQhqwKXRlwJgCv2TD1fsZcmOo+U7iX8YXPfp6frXDTOcH6iIiIjUKEpepVS3tLoFAN9af4NHFhO+3lSB+tdu0G+y7etfH1P9q4iIiJwXJa9Sqs51O9MitAUF5NEgZjNpJ82Mr0j9a4/7oOkVtvrXr9X/VURERCpOyauUymAwMLrVaACMwasI9IG/D6TySkXqX68+Vf+askf1ryIiIlJhSl6lTINiBxHuG05yzjFu6psKwEcr9rJ4+1EKLFZW70nmx7jDrN6TTIGljITUL1T1ryIiInLePN0dgFRtJg8TI5qP4J24d9iUMY8xPZ9mxqr93D/7b/y9PTmWkWs/NjLYh8lDWzGwTWTJJyusf130jK3+tX5niGhbSe9ERERELgSaeZVzuqH5DXh7eLM9eTuDOucQE+ZHdl5BkcQVIDEth3tmbmTB1oTST9bjPmg28HT9a066i6MXERGRC4mSVzmnWj61uLLRlQDM+mcm2XkFJR5XWDQwdf720ksIjEYY/j4E1T9V//qA6l9FRETEYUpexSGFN24tPfg7x3OOlHqcFUhIy2FdfErpJ/MLhes/BaMnbPseNnzq5GhFRETkQqXkVRzSOKQxvaJ6YcWKV+iqcx6flJFT9gHRXeHywv6vj0PCZidEKSIiIhc6Ja/isMLZV1PwX2AsOzmtE+hz7hP2GH+6/vWbMap/FRERkXNS8ioO6xnVk0bBjTF45OEV8leJxxiwdR3o2jD03CdU/auIiIiUk5JXcZht0YJRAJhq/YmBkm/cmjy0FR5Gg2MnPbv+df10Z4UrIiIiFyAlr1IuVza6klretTB6pRJed3ex/aN7xJTe57U00V2h3xTb1wuegIRN5x+oiIiIXJCUvEq5+Hj6cH3z6wFo3jyOr+7szpsjOnBT12gAftqcQGp2XvlP3GM8NBuk+lcREREpk5JXKbcRzUfgafRk07E44vN+Y/q+exnSNZOmdQJIycrj5d92lv+kBgMMfw+CoyFlr+pfRUREpERKXqXcavvVZnDDwQC8F/cee9P28k7cW/xnWGsAvlp3gL8PnCj/if1C4brpqn8VERGRUil5lQopbJuVlpcGwLbkbRT47OTaTvWxWuGpuVvJL7CU/8SqfxUREZEyKHmVCmleqzn+nv7250aDkbf/fpvHBzUnyMeTbUfS+WLN/oqd/Mz6169vVf2riIiI2Cl5lQpZdWQVWflZ9ucWq4VtydvYlb6BRwe2AOB/C3eRlH6OlbZKcmb964l4mH+/6l9FREQEUPIqFWC1Wnn777cxGor+9TFg4O2/32ZEl2jaR4eQmZvPf37eUbGL+IXCdYX9X3+A9Z84IXIRERGp7pS8SrmtOrKKbcnbsFiL1rRasbIteRtrE1fz/PA2GA0wf9MR/th9vGIXiu4C/abavlb9q4iIiKDkVcqpcNbVQOkraL2+4XVaRwVxS49YAJ75cSu5+SWvxnVOPf7vVP1rHswaAfv+hIRNBGfvsyWzR+Jsj9SDFTu/iIiIAwosVlbvSebHuMOs3pNMgUXlbO7i6e4ApHoxW8wkZiVipfR/tHtS95BpzmTCgGb8vCWBvcez+Gj5Xu67vGn5L2gwwGVPwq5fIeMIzBiMCegDcGY7WU9vGL8BQqLLfw0REZEyLNiawNT520lIO30fR2SwD5OHtir/qpJy3pS8Srl4eXgx+8rZpOSkFNt3JPMIT/7xJNn52by49kWe7/08Tw1pyQOz43hn6b8M61CPBmF+5b+oxYFZ2/xcyE5W8ioiIk61YGsC98zcWGzKJjEth3tmbuT9UZ2UwFYyJa9SbhH+EUT4RxTb3iqsFf4mf+5ZfA/z986nUUgjbm9/O3P+OsiqPclMnreV6WO6YDCUXnIgIiJSVRRYrEydv73EzxqtgAGYOn87/VtF4GHU/22VRTWv4lQ9onrweNfHAXhr41v8fvB3nh3WBpOHgaU7j/HbtqNujlBERMQx6+JTipQKnM0KJKTlsC6++KeR4jpKXsXpRrQYwYjmI7Bi5YmVT1DgeZhxlzQG4Nn528jKzXdzhCIiIueWlOFYr3JHjxPnUPIqLvFY18foHtmdk/knGf/7eG7sHkL9Wr4cScvhrSW73R2eiIjIOdUJ9HHqceIcSl7FJTyNnrx66avEBsWSmJXI439O4Kkrbd0GPvkjnp2JGc6/6LL/QrY+uhEREefoElsLb8+yU6W6Qd50bRhaSREJKHkVFwr2Duady98hyCuIzcc2szzlPfq3rEO+xcrTc7didfaSr7t+hXc6w6bZWk5WRETO249xR8jNt5R5jKfRwInsvEqKSEDJq7hYTFAMr/V5DQ+DBz/t/YkWLdfja/Jg3b4Uvtt42LGT+IXZ+riWxcMEYU1t7bJ+GAefD4PkPef/BkREpEY6nHqSKfO2AXBV+0gig4uWBtQO8CbIx5PDqTmM+GgNSemqe60sapUlLtctshuTuk3iP2v+w4wd7zG0x+N8vSKEF37ZQb+WdQjx8yr7BCHRtgUIspMBMOfn8+eff9KrVy9Mnqf+CvuFQWAErHoblr8E8cvhvR5w6UTo+QB4nuMaIiIip1gsVh75ehMZufl0bBDCazd0wGAwsC4+haSMHOoE+tC1YSgHUrIZ+fEa/k3K5IYPVzPrzu5Ehfi6O/wLnmZepVLc0PwGbmpxEwBLU94gNjKVlKw8Xv5t5zleeUpINER1sD0i25PmFwuR7U9vC4m2zb5ePAHuXQ2N+kJBLvz+HHx4CRxY45o3JiIiF5zpf8azem8yviYPXr+hA54eRjyMBno0DmNYh3r0aByGh9FAw3B/vh7Xg/q1fNmXnM0NH67mYEq2u8O/4Cl5lUrzaJdH6RnVk5yCHKx1p2PwyOCrdQf4+8AJ514otBGM/gGumQZ+4XBsB0y/AuY/ACedfC0REbmg7DqaYZ9YeXJIS2LD/cs8PjrUjznjehAb5sehEye58cPVxB/PqoxQaywlr1JpPI2evHLpK8QGxZKSm0S95rOxYuapuVvJLyi7IL7cDAZodz2M/ws6jrZt2zAD3ukKW7/TDV0iIlJMXr6Fh+bEkZdvoU/z2tzcrYFDr6sX4succT1oXNufI2k53Pjhav5NckFXHQGUvEolC/IKsncgSLPuIbD+92w7ksbMNftdc0G/UBj2Doz5BcKbQVYSfHsbfHk9nNjnmmuKiEi19NaS3Ww7kk6In4mXr21XruXM6wb5MPuuHjSvG0hSRi43friGHQnpLoy25lLyKpWusAOBp8ETAv7GK2wZ/1u4y7V3asb2grv/gD6TwMML/l0E73aHP9+EArPrrisiItXChv0neG/ZvwC8cHVb6gSVf+GB2oHefHVXd1pHBZGclcdNH69h6+E0Z4da4yl5FbfoFtmNJ7o9AYB3nd846RXHcz/vcO1FPb2hz2NwzyqIvRjyT8KiZ+CjvnBog2uvLSIiVVZ2Xj4Pfx2HxQpXd6zH4LaRFT5XqL8Xs+7oTvvoEFKzzYz8eI3z7+2o4ZS8itvc0PwGRrYYCYBP1Bx++ucv/vz3uOsvHN4Ubp0Pw94D31pwdAtMuxx+eRRy9BGPiEhN8/zPO9iXnE1ksA9Trmp93ucL9jMx8/audI6pRXpOPqM/Wcdf+7QCpLMoeRW3mthlIj2jemIwmvGN/pxJ8/4kN7/A9Rc2GKDjzTB+PbQbAVhh3YfwbjfYMd/11xcRkSph6c4kvlx7AIBXr29PsK/JKecN9DHx2W1d6dEojMzcfG75ZB2rKmOCpgZQ8ipuVdiBICYwFqMpjWN+H/L+MheXD5zJPxyu+RBGz4VaDSHjCMwZBV+NhLRDkHoQjsSV/kg9WHmxioiIU53IyuPRbzcDMLZXLL2ahDv1/P7enkwf04WLm4Zz0lzA2Bl/sXzXMadeoybSClvidkFeQbzX712umzeCk74H+eifl7i6wwfEnKO3nlM17mtb3GDFq/DnG7DzZ9i7FArywJJf+us8vW2rf4VEV1qoIiJy/qxWK0/N3cqxjFya1AngsYEtXHIdXy8PPr6lM//35UaW/JPEnZ+t572bO9GvVV2XXK8m0MyrVAkNghrw9uWvg9UDj8A47pr/EtbK7sVq8oXLn7Z1JYjuBubsshNXgPxc+7K1IiJSffwYd4SftyTgaTTw+g0d8DF5uOxaPiYP3h91EQNbR5BXYOHumRv4dUuCy653oVPyKlVGt8hu3NPmEQCOGH/g1T+/dU8gdVrC2AW2pWZFROSCcyT1JE//uBWA+y9vStv6wS6/ppenkXdGduSq9lHkW6yM/+pvfow77PLrXoiUvEqVcm/nUbT0GwLA57v/y4aELe4JxGiElsPcc20REXEZi8XKxG83kZGTT4foEO7t07jSru3pYeT1Gztwbaf6FFisPDgnjm/W696J8lLyKlXOJ0On4pnbAox53LN4PMeyq3hxu5aaFRGpNj5bvY8//03Gx2TktRva4+lRuamQh9HAK9e146au0VitMPHbzcw61e1AHKPkVaqcQB9v/tPjvxTk1uGkJYW7Fo4nJ9+Fq2+drzk3w+p34aSaUIuIVGX/JmXw31//AeDJwS1pVDvALXEYjQZeuLotY3rGAjDphy3M+DPeLbFUR0pepUq6sm1jOns/jDXfj3/TtvP0n09X/g1cjko/DL9Ngv+1hHn3Q6KbSh1ERKRU5gILD83ZRG6+hUua1WZU9xi3xmMwGJg8tBV3XdIIgCnzt/PRij1ujalQgcXK6j3J/Bh3mNV7kimwVK3/f9UqS6qsF4f1pf978RijPmLBvgU0DmnM3e3vdndYxV08AXb+BknbYONntkd0d+h6J7S8Cjy93B2hiEiN9/bv/7LlcBrBviZeua4dBoPB3SFhMBh4YlALvD2NvP37v7zwyz/kmi3cd3lTt8W0YGsCU+dvJyHt9CeekcE+TB7aioFtKr5srjNp5lWqrHohvtzfayC5icMBeDfuXRbuW8jaxLW8mf4maxPXujYAvzBbH9eyeHrDRbfBPX/C2F+h9TVg9ISDa+C72+H11vD785B+xLWxiohIqeIOpvLu0n8BeG54G+oG+bg5otMMBgMPD2jOw/2bAfC/Rbt49bedbvm0ccHWBO6ZubFI4gqQmJbDPTM3smBr1WjvVaVnXvPz85kyZQpffvkliYmJREZGMmbMGJ566imMRuXdNcHtvRvy3YbLOJB8FK+wP5m0chJRAVEcsxzj7bi36VW/l+t+ew6Jti1AUFYfV7+w0wsUxPS0PTISYcMMWP8pZCbCipdh5f+gxRDbbGzsxbblaUVExOVO5hUwYU4cBRYrV7WPYmj7KHeHVKL7Lm+Kl6eRF3/9h3eW/ktegYVHr2jO2vgUNhw3EBafQo8mdfAwuub/jwKLlSnztlFSymwFDMDU+dvp3yrCZTE4qkonry+99BIffPABn332Ga1bt2b9+vWMHTuW4OBgHnjgAXeHJ5XA5GHkueFtuPGjwRi9j0PATuLTbUXt21O2s+rIKnrV6+W6AEKiy796VmAE9HkcLn4Y/vkJ1k2D/X/Ajnm2R+0W0OUOaD8CvANdE7eIiADw4q872Hs8i4ggH/4zrI27wynTuEsb4+1pPFX/upeZa/aTnVcAePD57vUV+vi+wGIlJSuPYxm5JGXkcCwjl2OZuSSl2/48lmF7JKSdJMdsKfU8ViAhLYd18Sn0aBx2/m/2PFTp5HX16tUMGzaMIUNsfT9jY2P56quvWL9+vZsjk8rUrVEY13RqwPdxIwhs9jwYbKteGTDy9t9v0zOqZ5WoXSrGwwStr7Y9jm6Hvz6GTXPg2D/wyyOweKotge1yB9Q5a1nC1IOOz/iKiLhBgcXKuvgUkjJyqBPoQ9eGoW6fkTvbil3H+Hz1fgBeub4dwX4mN0d0bmN6NWTX0UxmrTtwKnE9rfDj+/dHdeKSZrVPJaSnE1B7cnrG9uSsPKfecJWU4f7uP1U6ee3duzcffPABu3btolmzZmzatIk//viDN954o9TX5Obmkpuba3+enp4OgNlsxmw2uzrk81IYX1WP0x0e7d+EBXuW2RNXACsWtiVv4/WV87ivx2D3BeeI0KZwxctw6VMYt8zBuOETDMn/2hLavz7GEtMbS+fbsTYbBBmJeL7fDUNBbqmns3p4k3/PWgiuX+ox+vvkOI2VYzROjqkJ4/TbtqM898s/JKaf/jkVEeTNU4NbcEXrug6dw9XjlJptZuI3mwAY3S2a7rEh1eJ7UmCx8vs/R0vcV5iC3jNzY4kf75fGYIBQPy9qB3hRO9Cb8EBv+9e1A7wJD/AiIS2Hid9tPee5wvw8XTKO5TmnwVpl+w+B1Wpl0qRJvPTSS3h4eFBQUMDzzz/PE088UeprpkyZwtSpU4ttnzVrFn5+fq4MV1woLhnm5L2P0ecIBsPpv7JWK1jzA7nO+Aidwly3LrXTWa2EZ26n0bHFRKRtxHDqx9BJUyiJwR1oePz3c55iWfNnSfOLdXGgIiJFbUo2MH1X4X0nZ8602n6O3dbMQvsw96cWn+0ysjHZSB0fKxPbFeBVTf6L2J1m4J3tjgVrMloJMkGQFwSZCr+2EnjmNi8IMIHHOSbFLVaYutGD1Dwo+n0tZCXECyZ3KsAVE+zZ2dmMHDmStLQ0goKCyjy2Sievs2fPZuLEibzyyiu0bt2auLg4HnzwQV577TVuvfXWEl9T0sxrdHQ0x48fP+dguJvZbGbRokX0798fk6nqf7RRWQosVnq/8xG54R+WeozBXIfvr/6YmKBq+FF62iGMGz/DGPcFhuzjDr/MfNsSiGxf+n79fXKYxsoxGifHXMjjVGCx0ud/K4rMuJ7JAEQEe7N0wiXnLCFw5Tj9tDmBh77ZgofRwNd3dqVd/WCnnt+V5m9OYMI35+4X/sLwVlzXqZ5Ty+Z+23aU+2bbZqvPTA4Lr/D2iPYOz6yXV3p6OuHh4Q4lr1W6bGDixIk8/vjjjBgxAoC2bduyf/9+XnzxxVKTV29vb7y9i7c3MplM1eaHSHWKtTL89e9xsv1/xmg1FJl1LWS1AqYkRvwygqm9JjOk0ZDKD/J8hDeEAVPgsidg21z48w1I2n7Ol5k8PcGBvyf6++Q4jZVjNE6OuRDHaf2e5FITVyi8qSeXvw9lOHxTj7PHKTEth8nzdwAwvm8TLmoY7rRzV4bIEH+HjmtYOwgvL+f2Eb+yQ308PT2K9XmNqIQ+r+X5O1Clk9fs7OxiLbE8PDywWEq/G04uPAnpGRhMqSUmrmCr5bFajORyksdXPs6qI6uY1G0S/ibHfgBUGZ7e0P5GqN0cPrrU3dGIiBSRmZvPwu2JDh3rrpt6rFYrE7/dRHpOPu3qBzP+siZuieN8dG0YSmSwD4lpOSXWtdpmt203yLnCwDaR9G8VUaVvxqvSyevQoUN5/vnnadCgAa1bt+bvv//mtdde47bbbnN3aFKJooKDyI4fj8Ezq9RjrPm+eNfaiCl8CfP2zCMuKY6XL3mZ1uGtKzFSEZELy5HUkyzZcZRFO5JYsyeZvALHJo/eX7qHvHwLg9tG4u9deanGF2v2s3L3cbw9jbx2QwdMHtWvJ7yH0bZs7D0zN2Kg5I/vJw9t5dJk0sNocHs7rLJU6eT17bff5umnn+bee+8lKSmJqKgoxo0bxzPPPOPu0KQSdW0YSoR/RKm/hQKYPAzkHOuHObMxPvVmcyDjACN/uZkHOt7PmDZjMBqq3w8wEZHKZrVa2XYknUXbj7J4x1G2HUkvsj82zI9jGblkndXC6Wz/HM1g4rebmTxvG0PaRnJDl2g6x9RyaVvDPccyeeEXW7nAE4Na0KROgMuu5WoD20Ty/qhObvn4vjqo0slrYGAgb7zxRpmtseTC58hvoW+N6EidIB+m/xnJgu0RmOp+jyloC69vfJ3v/1nKu/1fJibkAvvHnrwHojq4OwoRqeZyzAWs3pvM4u1HWbIjicT008mS0QAXxdSiX8u69GtVl8a1A+xLiELJP49fuKYtJ7Lz+Gb9IeKPZ/HNhkN8s+EQDcP9ue6i+lzbqT4Rwc5dnjW/wMKErzeRY7bQu0k4t/SIder53aHw4/vV/yaxcOVaBlzczaUrbFUnVTp5FSnk6G+hF8XU4nBqSz5b1Yqvtn+LNWwu+7PjuPL7q7mk1ngev/QaokOreMs0vzBb/Wt+6TdFAPDj/9kWQmh1VeXEJSJVVnkXDEjJyuP3f5JYvP0oK3YfK9IM38/Lg0ua1qZfq7r0bV6bsICiN0E7+vP4nksbs2H/Cb5ef5CfNycQfzyLV37byf8W7uSSZrW5pkMk+U66heXdpXvYdDCVIB9PXrm+HcYLJMHzMBro1jCU5B1WulWxulN3UvIq1Yajv4XWC/Fl0uBWPNhvEh+tvowZ/z5HgedhVqS/xJLPVnJp+BjuuLi5yz/CqrCQaBi/ofQVtnLSYelzcHAtfD0a+jwBlzwKRpVGiNREC7YmFEskS1pGdM+xTBafKgfYsP8EZy66VDfI2z672qNRGD6msvuMOnJTj8FgoHNsKJ1jQ5k8tDW/bEngmw2HWBefwrKdx1i28xh+nh7EGf7hxi4NaFOvYu2sNh9K5a3fdwPwn+FtiAz2rdB5pPpQ8irVSnl+C/Xz8uTBS3szrudcJv7+IssTv8cUuoqV2fEsmn4TrWs35bbesQxpG4WXZxVL/EKiy17+NeYXWPgkrP0Alr0IR7fB8PfBu/rWeIlI+RV+hH/2/QCFy4hO6N+MjNx8Fm8/yt7jRW96bRUZRL9Wdenfsi5t6gWV+5f58tzU4+/tyfWdo7m+czT7jmfx7YZDfLvhIInpuXyx5gBfrDlAq8ggru9cn+Ed6lHL37EWUDnmAh6aE0eBxcqQdpFc1T6qXO9Bqiclr3LB8zX58M4VU1lx6HKeWPkk6STg1/Bt/jl6JQ/N6coLv/zDLd1jGNmtQbGPx6osD08Y9BLUbQM/PQQ75kHKXhgxC2rFuDs6EakEBRYrU+dvL/FG1sJt/1u0y77N5GGge6MwBrSqy2Ut61IvxD0zlLHh/jxyRXPG92nIG7MXcNCjHot2JLE9IZ2p87fz4i//0K9VHa7vHM0lTWsXm6Q4s0Tily0J7DmWRZ1Ab54f3qZqfpomTqfkVWqMS+pfwtxh3/PkH0+yOmE1PpE/4B+yh2MHhvO/Rbm8vfRfru5Qj7G9Y2kRUXR1j/LWk1WaTqMhvCnMGQVHt8LHfeGGzyG2t7sjExEXWxefUqRUoDQXNwnnpm4NuLhpOIE+VWfRBA+jgZYhVh4e3I4ss5V5m47wzfpDbDmcxi9bEvllSyJ1g7y5plN9rr+oPo1O3Sx2dokEwA2d6xPi59yG/VJ1KXmVGqW2X20+6P8Bn2/7nDf/fpN8383Ua3MEv7Rb2L2/DnPWH2TO+oP0ahLGbb0a0rd5HRZuT3SonsxtGnSHu5bB7JGQsAk+HwaDXoYOt7g7MhFxIUcXAriuc30Gt60CP6vKEOLnxS09YrmlRyw7EtL5Zv0hfvj7EEfTc3l/2R7eX7aHxrX92XOs5H7f7y7dQ5t6wVXjZ7K4XBUr9BNxPaPByJg2Y5g5aCYNAhuQbj5Okv8b3DxwO4Pb1MFogD//Teb2z9bT/cUl3D1zY7Hf8gvryRZsTXDTuzhLcH0YuwDaXAuWfPh5AsZfJ2Kw5rs7MhFxkTqBjrWbcvS4qqJlZBDPDG3F2kn9+GBUJy5rUQcDlJq4Fpo6fzsFltK6gcuFRMmr1Fitw1vz9dCvuarxVVisFubt/5yM0Lf4Znxzxl3SiEBvD5IySm5XVfjjsUr9sPTyg2s/gcufAQx4bPyUHv++UnrXAhGp1vYnl53MGbB9SuSqZURdzcvTyMA2kUwf04X3bu5U5rFWICEth3XxKZUTnLiVklep0fxN/jzf+3leuvglAkwBxB2L477lt9Cx1X7eusmxH5ZvLt7FrqMZmB1cNtGlDAa4+GG46SusXv7UztyB5/T+kLjV3ZGJiJNYrVY+WL6Hx7/fYt92dgV+ZS0jWlkcXZbW0VIKqd5U8yoCDG40mHa12/HYysfYfGwzE5dPpFPoADD0BmvZNwG89fu/vPX7v5g8DDQKD6Bp3QCa1w2kWUQgzesGEh3qV+H/PCp8o1jzQeSP+Y3cGdcQkHYAPhkAV3+gBQ1EqjmLxcoLv+xg2h/xAIy7pBEdokN49qcLexnRC7VEQipGyavIKfUD6zNj4Azej3ufaVumsTFlIf4NN3LyyE1Ycurh4bcb74j55CYOpSC7qf11Tev4k5CWS2ZuPjuPZrDzaAY/cboW1sdkpGmdwGJJbWSwT5ltXRxtPF6q2i1Y0XwKAzNmY9y3QgsaiFRz5gILj327me//PgzApMEtuOuSxgAMaF32ggHVXdeGoUQG+5CYllNiazADtoS9upZISPkoeRU5g8lo4v5O99M9sjtP/PEESSThF/seuUlXYArahId3Et51fiN7XxMMGIgI9mHBg5diNMCRtBx2JdqS112nHruPZpJjtrDlcBpbDqcVuVagtyfNIgJpVjeQZmcktuEB3udsPP7+qE4OJbBmzwAKbvoa4+9TtKCBSDV2Mq+Ae7/cwNKdx/AwGnjp2nZcd1F9+/7yLBhQHXkYDUwe2op7Zm7EAEV+Nl5oJRJybkpeRUrQNbIr3w39jrsXPMq2tNX41P3Fvs/D9xCe/rspyGpW5IdlvRBf6oX40rdFHfuxBRYrB1Ky2ZloS2Z3Hs1g99EM9h7LIiM3nw37T7Bh/4ki1w71M5GZW1Bq43EDthvF+reKcOwHtVELGohUZ6nZedz+2Xo27D+Bt6eR927uxOUt67o7rEo3sE0k74/qVOwTqQutRELOTcmrSClCfEL4atiHPLP0I+YeeMf+673VCn4RC3ip+43n/GHpYTTQMNyfhuH+DGwTYd+el28h/niWbZb2jNnaAynZpGSbyzznmXfVlmumpcQFDb6A2F6On0NEKlVC2klunb6OXUczCfLxZPqYLnSOrbkfjQ9sE0n/Vhd2iYScm5JXkTIYDAYGNm/D3INnbgOr1xHmH32ONrFPEB0YXe7zenkaaR4RSPOIQGh/evvJvAI++SOeVxfuPOc5KnRXbbEFDa6Cwa9A59vKfy6pdqrsSnFSoj3HMrnlk3UcTj1J3SBvPr+tm+1nRg13oZdIyLkpeRUpg9Vq5e2/38ZoMGKxFm3VsvLwSv74/g8GNRzE7W1vp1mtZud9PV8vDy6KqeXQsYHeFfznW7igwbzxsPU7WylB4lZbaYFH1Vk6UpzrvG8AlEq16WAqY2f8RUpWHg3D/fn8tq5Eh/q5OyyRKkG3HIuUYdWRVWxL3lYscS1kxcov8b9w7bxrue/3+9h0bNN5X7PwrtpzzYdN/HYzc/46ULFFEs5a0ID1n8Cng2DvcjgSV/Ij9WAZJ5SqrPAGwCq/UpwAsHL3MW76eA0pWXm0rRfMN3f3UOIqcgbNvIqUonDW1YABawm3Txkw0Ci4EQ2DG7LkwBKWHVzGsoPL6BbRjdvb3k73yO5ltsIqzbnuqrUCdQK9ScrI5bHvtvDZqv08fWWr8n+MVrigQZ1W8O1tcOgvWxlBaTy9YfwGCCl/mUSZUg+WvQqYX5jzr1mDFFisTJ2/3Xk3AIpLzd90hAlfx2EusNKrSRgfju5MQEU/ZRG5QOlfhEgpzBYziVmJJSauYJt1Tc1N5aVLXuJQ5iGmb5nOz3t/Zm3iWtYmrqVNWBvuaHcHfaP7YjSU70OOc91Ve1mLuny+eh9vLtnN9oR0bvp4DQNbRzBpcEsahJVzhqb5IBj+Hnwzpuzj8nNtSaYzE8nUg/DORbZzl8ZVSXMNsS4+pdiM65kqfANgFVcd63s/X72PyfO2YbXCkLaRvHZje7w9PdwdlkiVo+RVpBReHl7MvnI2KTmlr5Ud6hOKl4cXjYIb8Vzv5/i/Dv/HjG0z+G73d2xN3sqDSx+kcXBjbm97O4MaDsLT6Pg/uXPdVXvHxY24plN9Xl+0iy/X7mfBtkR+/yeJsb1jGd+3CT7l+T+vVkPHjkvYbPvT5Acm39MPT9+KLXyQnVx24gquSZpriOy8fObGHXbo2AtpWc3qVt9rtVp5ffFu3lqyG4BR3Rsw9ao2VT7ZFnEXJa8iZYjwjyDCP+LcB54SGRDJE92e4K52dzFzx0xm/zObPWl7mPTHJN6Ne5exrccyvOlwvD28HTrfue6qDfX34j/D2zCqewzP/bydlbuP8+HyvXy34RAPXd4EvwqUw5Zp/n2l7/P0sT3sia0fmHzO+PpUkmtPev3g5InSzycVFn88i5lr9vP1+oNk5OQ79JoLZVlNZy3wUVkKLFae+XErX649AMADlzflwX5NK1RyJFJTKHkVcYEw3zAe6PQAt7W5jTk75/DF9i84nHmY59Y+xwebP+CWVrdwQ/Mb8Df5O+V6zSMC+fy2rizdmcRzP+1g7/EsnvxxO/X8PKjdKoXezZzU0DyoPmAFczaYT0L+GbN1+Tm2R06qc64l5VJgsbL0nyQ+X7OfFbuO2bdH1/Il9aSZzJz8UgpgbNbGJ9MlthaeHtX3Pt7qVt+bm1/AQ3Pi+GVLIgYDPHtVa0b3iHV3WCJVnpJXERcK9ArkjrZ3cHPLm/l+9/fM2DaDxKxEXtvwGh9v+ZiRLUZyc8ubqeXjWHusshgMBi5rUZfeTWrzxZr9vLl4F4ez8xk1fT1XtK7LpMEtiQk7z2R5xJcQ1eH0c4vFlrCaT56R0J4s+rzI46xj0g7Czl/PL6YaLiUrjzl/HeTLtfs5dOIkYLsXr2/zOozuEcOlTWuzcHtiiTcAnumNxbtZuvMYr93Qnsa1q+fSwdWpvjczN5+7Pl/Pqj3JmDwMvH5jB65sF+XWmESqCyWvIpXA19OXm1vezA3NbuDn+J/5ZMsn7Evfx4ebP+Tz7Z9zXbPruLXVrdT1P/8ZUi9PI7f3bsiVberwyKe/s+qYB79tO8rSf47Z62EDfZzUz9VotLXd8vIDKpAMHIlzLHnd8jXUbmErQxDA1gf089X7mb/5CHn5tlZuwb4mbuwSzahuMUVu3CvtBsDIYB+eubIVOfkFPPPjNjYdTGXwmyt5fFALbu0Ri7EKzE6Wh6N1u/uTs9yavB7PzGXsp3+x5XAafl4efDS6M72bhrstHpHqRsmrSCUyeZgY3mQ4QxsNZcmBJUzbMo0dKTv4YvsXfPXPVwxrPIzb2txGg6AG9tesPrKa/677L493fZweUT0cvlaovxfXNbLwxPW9efG3XUXqYR8e0JwbOkdXiY9OHbL6Xdg+D/o8Ae1HgLFm3oGdYy7gp80JfLF6H5sOpdm3t6kXxC09YrmqfRQ+ppLH5lw3AHZvFMaj325m5e7jTJ2/nYXbjvLK9e2oX6v69Bc9lnGOm/9OmfTDFuZtOkK/lnXp17Ju+Tt0nIeDKdncMn0d8cezCPX3YsbYLrSrH1Jp1xe5ECh5FXEDD6MHA2IH0D+mP6uOrOLjLR+z4egGvtv9HT/8+wNXxFxhX7XrzY1vsjdtL29ufLNCvWOb1g0oVg/7xPdb+GzVPp4Z2oqejcNtvVQ9vc/dssrPTbNVfuG2EoMf74VVb9kWV2g+2Pb5eA1wMCWbL9ceYM5fBziRbQbAy8PIkHaRjO4RQ8foEIf+XpR1A2BksC+f39aVmWsP8MLPO1i9N5mBb6xk8tBWXHdR/Sp9A9HWw2m8tOAfVu4+fs5jPY0G8i1WVu1JZtWeZJ79aTvN6wbSr1Ud+rWsS/v6IS6bcf4nMZ1bPllHUkYu9UJ8+eL2rjSqpiUaIu6k5FXEjQwGA73q9aJXvV5sPLqRaVumsfLwSn7d9yu/7vuVNuFt2Ja8DYBtydtYdWQVver1qtB1LmtRl4ub1uaL1ft5Y/Eu/knMYOTHa0/Xw47fANnJFFitbDucTkp2HqF+XrSuF4SHweCaxQIcTZpvW2ArL1j5Pzj2D8weCfW7Qr8pEFv+8XA3R3qQWixW/vj3OJ+v3seSf5KwnipWjQr24ebuMdzYJZrwAMe6VjjKYDAwunsMFzcJZ8LXcWw8kMrEbzfz27ajvHhNW0J8qtbNXPuOZ/Hqwp38tNm2Qpin0UCvJuEs33WsxAU+AN4Z2ZEWEUEs3nGUxTuO8te+E+w8msHOoxm8u3QP4QHe9GtZh8tb1qV3k3B8vZwzy//XvhRun/EX6Tn5NKsbwOe3dSMiWGUwIhWh5FWkiuhUtxPv1X2Pf1L+4ZMtn7Bg3wK2Ht9q32/EyNt/v03PqJ4VngUzeRi5rXdDru5YjzcW72Lm2gP8tu0ov/+TxG29GtI8IpxXftt5Rl1kHpHB+bb+mFEuaC8UEm1bgMCRFbbCm0KnW2wzr6vfg0PrYMZgaNLfNhMb2c758bnAuXqQpp008+2GQ8xcs5/441n2Y3o3CWd0jxgub1HH5R0BYsP9+ebunny4Yg+vL9rF4h1H2fjGCZ4d2tKl13VUUnoOby7ZzZy/DpJ/annkYR2ieLh/cxqE+ZU4xhFn9Xm94+JG3HFxI1Kz81i28xiLdhxl+c5jHM/MZfZfB5n910G8PY1c3DScfi3rclnLOg61EyuwWFkbn8KG4wbC4lPo0aQOS/9J4v9mbSQ338JFMbX45NbOhPh5uWZwRGoAg9VqdXYnyColPT2d4OBg0tLSCAoKcnc4ZTKbzfzyyy8MHjwYk8lJN9RcgGrKOH2/63smr55cbPt/L/4vQxoNOefrHRmn3Ucz+M/PO4q0VjpbYZpcpfpjZiTC8pdh42dgOdXHtO310HcShDYq9+kq6+9UaT1IC2cJezcJY8P+VE6aCwAI9Pbk2ovqM7pHjNs6AOxISOehOXH8k5gBQJdwCx/cdTlhQZVfC5t20syHy/cw/c94csy2m9T6Nq/NI1c0p3VUcJFjK7LCVl6+hbXxySzefpTFO5I4nHqyyP4O0SH0b2Wrk21WN6DYL5ElJc3BviYycsxYrHBZizq8O7KT02Zzq7ua8rP8fNWUcSpPvqaZV5EqyGq18vWurzEajFisliL7nlj5BPFp8dzW5jb8TOeXQDSta+sPu2THUe76YgMFluK/y1bF/pgERsCVr0GP/4Olz8PW72DLN7DtB7hoLFwyEQKd1NvWSc7VgxTgj39tM9DN6wYyukcMV3esh7+b17VvGRnEvPG9eXPJLt5ftoe/jhsZ8s4qXrm+PRc3rV0pMeSYC/hs1T7eW7aHtJO2mt9ODUJ4bGALujUquYb3XAt8lMTL08jFTWtzcdPaTLnKyj+JGacS2aNsOpRG3MFU4g6m8spvO4kO9aVfy7r0b1mXLg1DWbLjaIm/mBTG261hKB+OvghTNe6jKzVA6kHHPglzMyWvIlXQqiOr7LWuZ7Ni5cPNH/Ltrm+5t8O9XNP0mnItO1sSPy/PEhPX09esOv0xiwhrDNdNh14PwOKpsGcJ/PUxxH0J3e+FXveDT/C5z1MJztWDtNAzV7ZkbK+GVeoGKS9PIxOvaMGlTcK494u1JKbnMvqTddzSI4bHB7XAz8s1/5XkF1j4dsMh3li8m8R029g1qxvAxCta0K9lHZeOkcFgoGVkEC0jg7jv8qYcTc9hyY4kFu84yh//Hudgykk+/XMfn/65jwBvD/It1jIXgTiQko2xCn1PRYpJPQjvXHTuexDGb3B7AqtfAUWqGKvVytt/v42Bkv+jM2DAZDSRnJPMf9b8h2vnXcvyg8s5nwogR/tjrt2bfF7XcZnI9jD6e7h1PtTrbFsMYeWr8GZ7WPU2mB17f67k6BiHBXhXqcT1TB0bhPBouwJGdbP9x/X56v0MfnMlG/Y7d5lfq9XKr1sSGPDGCh7/fguJ6TnUC/Hl1evb8+sDl9C/Vd1KH6O6QT6M7NaA6WO6EPdMfz4cfRHXX1SfMH8vMnML7GUMpSn85U+kyspOLjtxBdv+smZmK4mSV5Eqxmwxk5iVSGnzOFasBHkF8UjnRwjxDmFv2l7G/z6e2xfeXups7bk4uq79G0t2M+D1FUz/I57U7LwKXculGl4CdyyGG2dCeDM4eQIWPgVvd4KNX0BBvttCc3SMHT3OXbw9YPKVLfni/9u777iorrx/4J87BYbeYRiqGlFaQGxYYkmiRkWTuKvRmOLP6D5uYqLR+CSbXdeSTaKpZk3Mmk1izBMTk91omlFjVFCxoBQL0hRQ2oCADHVgyvn9cWFgYIChzgx836/XfTFz65nDmTvfe+455z4zDlJHCXLLarHwX2fx1pF01Ks1Pd5//I1SPPJRPP68LwnZd/ixUDfGhOD4+qn442hfs2i2YmslwqxQKd5eGIGEvz6ItQ8ON2o7Yy9gCCEdo2YDhJgZK6EV9sfsR7my/VoaV4krpHZSPDr8UXx69VPsu74PF+UXsfiXxZg7dC5eGPUCPKyNb484bogrvJ0kkCuU7d76tBELwRhDVkk1tv5yHduPpGNuuDeWjPfHmAAX86kt5DggeB4QNBu4/A0Q+yZQWQD8tJqvhX1gIzAyBlDkN9cgqNVwqs0Fii4DosbTYi+27eLzrarjZIPvET9uiGuvHLOv3TfcA0dfnIItP6XiQHIBdsXexIn0Erz/WCSCvbveOfZqvgJvHW0eq9XWSogV9w3FyvuG9N4T4fqAUMBh/BA3AFmdrmvuFyZGs5B2kaQLNGqg4rapU2E0Cl4JMUNSOymkdtJO13O0csS60euweMRi7EzeiV+yf8Gh7EM4lnsMi0cshp/WuB8QoYDDpnkh+PNXSe2Oj/n+YxGYeI87fkwpxNcXbiOtqBIHkgtwILkAwz3tsWScPxZE+ZjPEEBCERD1JD8KwcVP+WYEpRnAt08AXuFAaTqg4TvTiAFMA4CMFtv3Utuumno1Xj14FT+mFOrmtZfHm+aFmEXNorGcbMR477FIzAz1wqsHryFdXoX5H57BizOC8D9Thuk+S0c9/7PvVOPdY5k41DhWq1jIYen4AKy+/55eH8e2r3R28WdpFyYdsqB2kRat5QVCb15ca7WA4jZQkgaUXG/8m86fGzVmeDetHRS8EjIAyOxlePO+N/FEyBN479J7SJAn4Mu0L2HD2aA+vR6PhzwOsbDj2quHwrzx8RNRnY6P+WR0AJ4Y74/L+Qp8c+E2frpcqKuN3dZUGzvOH2MDzaQ2ViwBJq7mA9n4fwLndwHFVzvfrqltVw9+gLOKq/DnfUm4UVINoYDD1qmOCLRR4pPT2Sitbv6hcLe3wv9MGYqJvqZr1tATD4V5Y3SAK149eBXHrhfjrSMZOJ5WgncXRiBdXmlwXNs1DwzHlQIFvr2YB42WgeOARyN98OKMIPi5Ws4jaQHjLv4s7cKkXV1pF0nBa/e0ukDo1sU1Y/yQgroANQ240xioqmoMbyOSAGrLaNpCwSshA0ioWyg+nck/pevdS+8iW5GNd5LewbdZ32JN1BrMDJjZYUD5UJg3ZoRIOx0fk+M4RPo5I9LPGX+LCcYPLWpjDyYX4GByAe5prI39g7nUxkqc+CYD4/4EHH4ZuH6w821UdfyPQDeC8IPJ+Xj1wDXUqTTwcrTG7nleiPzxAUBdj0kA0LJSUQXgOIA4y62x8nCwxidPjsZ/E/Ox9efrSLx1FzPfP4UGTduOTEUKJV450HwB8cBIT7w0a0S3mhuYC2Mv/kgPDJbmCl29QKgtbxGktghWlRWGtxVaAe4jAM9g/an2LvDvab39afoEBa+EDDAcx2GK7xSM9RiL1398HWfYGeRV5eGluJcQ4RGBl8a8hEjPyHa37+r4mA4Ssa429kq+At8k8LWxN0qq8VrLtrHmUhvr4AVMXmtc8LrnIf5Eb+sG2LgCtk1T03u3Vu9doRQ7Y8tvefjmYh4A/slYOxZHwr0ybcDXWHEch4Vj/DDxHne89F0KzmV33LteLOTwf8+MR3Q7Y7VamqaLv3M3SvDb6QuYed94TLjHs29rXPsyoGuoAcpuAKVZzX/ll43b9v8WAK6BgKMP4OTLT02vHX0A+y6Ow0zNFdr65UW+PX91seHlnABwu4cPTD2agtQQ/kEuQgPhX11Fnya3N1HwSsgAJRKIMNZ6LDbM2IB9mfvwReoXuHznMp48/CRmBMzAmqg1CHAM6LXjcRyHCD9nRPg5469zg3VtY68bqI1dMMoHLnb6tbHdeSJSv9A0AFVF/GQECYCtTIh11vYQ2LrCVeAN7hcTt3Xs5xorH2cbPH//cNzKPgQXrv2Oanc1DjDHkdd6gu/A5YqyNIbxfV2GeyOg02oBRR5QlgWU3mj82xisVhZ0P211ZUBBGVCQaHi5QASRgwyT1DYQNvzIp691kGvj0nzXg5ortFWY1PzaOaBFLWoI/9dtON9syli2bnx56aw82Zr+YpOCV0IGOFuxLZ6NfBZ/DPojdqXswsEbB3Hs1jGcvH0Si0YswqqIVXCRuPTqMR0kYjwRHYClHdTGzgmT4vHxARgb6IKjqXKD7SJNfrt1+RHA0Zf/Qawr52/P1Za3eF+me19XWQpWWwZb1EPMaeABBVCnAG7ndO2YJ14DpOH6tVStf8i7wkQ1VtUlOThhvR4STtXuOkomxqniEMCcHnxhSboS0EkcWwWnjcFq+c2O2znauvFBkPs9/F+BCPjtr52nbcEngNiOD4AVeYCioPF1AVBVCGjV4BS34Q4AqRmG9yG2BRxlfPkX2XR+TEtWfQfITwBunwdunjRumykvA0GzAI8RgHUvPD7a2Y8/D1hA0wwKXgkZJDxtPbF54mYsDV6K9xPfx+mC0/g6/Wv8dPMnrAhfgaXBSyER8Vfp5wrPYVvCNrwy7hVMkE3o9jE7qo39IaUQP6QUwsvRGsWVbX+A5Qol/vxVEj5+Isp0AazIhj9Rd3CyVmm02HY4HZ+d4YPUif62eH++P7xEtXrBLUquA5c+7/yYN37np9bEto2BbFNQ68u/dvQBnPz411Z2bbczUY2VVFTbYeAKABJOBamotteOCWDwtIvsii8fAZQdPEhCaMXfSna7B3Af3hisDuff27a6a1CYYtwx3UcAskjDyzRqoFoOdfktJMf9gqihHhBWyxuD2/zGYexK+YeNlN3gJ2NV3AK8QoFOOqialFbL9+7PuwDcvsD/Lb/Z9f2MnNN+HndXJ+c7c0HBKyGDzHCX4dj14C6cLzqPdy+9i/TydOxI2oH9GfvxwqgXMGfIHHyQ9AGyFdn4IOkDRHtH90o71Za1sVcLFPj6wm38mFKgF7gKbbNgLf0Z9fJ50NQOBwdgy8/XMSNEah5NCFoprKjD6q+TkHS7AgDwpylDsWHWCMPPry9MMS54Hb+K7yTWssZK90PeWGPWHolzq1uvPoC2iw8OYAzQqvlhxLQqPtDQqvj3DUrYK4v4ziACpr+s5bpaNcLqjAs4QmW92ElrsLWLNPZ/2xS42kubg1JdkHoP4ORvuA1kXxGKACdfMFsvFLqUInLCHAjFrYJNlZL/DjQFtPmXgEufdb7v755q7JAUBHiM1L+N7hwACLrxbKaeXhA11PDNJ5oC1fwEQKlou57HSMBvHOAgA+K2dT2dgwgFr4QMUtHe0fg25lscyj6Efyb/E/IaOV498yo+TvkYedV8Z6PUslScLTyLST6Teu24HMfhXl9n3OvrjJkhXli+91LjEgZrz6MQWpfA2vMoanPvAQOne6xmVzqRdaoX2nbFZd7B2v3JuFurgoNEhHcWRmBWaOdj83YqYknb2pSmH3JFfvOt18rGGqqm27H1lXzvYmUFUHyt68f9bCbANHzg2g4xgAcAIK3z3RkbIgg/nwHYeTR3hmunI5zeMmsHw00oBnq7SMaAsptA9kkgOxa4GWvcdo/uBkbM4ZsO9FR/tYsUSwC3YfwE8AGoMcFr03BPxdfafg/Eti0C2hbtQx2822+S050LIkW+fq2q/Cr/3WqdFp/RgN/4xmks3zQI4C90KXjtEAWvhAxiAk6AecPmYUbADHyV9hU+vfKpLnBt8vKpl/FgwIOwEdlAIpJAIpTo/23vdYt5VgIrg7W3VfXNgZLQLgtCm3z+tU0+hHZZ0NQEAQCOXCvCKH9nSMTC3vngrdp2qdRqxMfHY9KkSRB3Mgi4Rsvwwe+Z2HnyBhjjaw4/Xjoa/m59ODZp6x9yQ5SKFu0K85v/lqQDRcmdH0PTUdDHAUIxmEAMlZZBbG0LTigGBGJAIORv0QrEfI2aQMy/VymNO65WxbeBrCrsfN0mAnGrQNeF/6vpuJmCRaouAbLj+GA1O5a/aOkqj5G9E7gC5t8u8v8d4ctDSbr+sFGlGfzdi8Ik/Y5OAD+MnmdIY2Ab0hzU2rkZf0GU8Elj0Jpg+H/k6NMiUB3Ht2tvr2mDBXWcMhUKXgkhkIgkWBG+Ar72vthwaoPeMkWDAt9nfd+j/XPgIBFJYCOygbXQWhfcqtQi2PgpwZgIQptc3ZCqjHGw9vgNtTXDAXDYe+4WDiYXYH6kDIvG+CHcx6nnTRlatu1SqaCwLQC8I4DWty9buFNVj7XfJiP+Bv/DvXS8PzbGhBgXVPf1D5LEiZ+8QvTnF6YAn0ztfPsl+/nP3zoIFYh1t1rVKhUO//or5syZA3EH+dTl4zpIG9sH3zXYGa65s1wZX6umVfHDA7U3RFBn8i/xx7T36l4nuL7UUAPcOtscrLauPRRa8QHQ0Gl8s5CDq/o/jebcLpLjAJdAfhrxUPN8jRooz24cqL/FeKhlN/kLv9vn+KklO0++CY4xzv6zRRqEgDQM8IvmA1X/aOP3A/To4nqwoOCVEAIAYIzhi9QvIOAE0LLmgeU5cPCw8cC8YfNQr6mHUqOEUs1PdZo61Kvr+fcaJerUdfw6av61pvFWGQNDnboOdeq6NscVGegky3GMr321vw4bVQQcJSIUKpT46vxtfHX+NkZ4OWDhGF88OsoHbv30CNGEnHKs/joJJVX1sLUS4s0F4Xg40sf4HZh7jZWDN9+z2xTH7Uqnk4Za/eC25SgQd9KB1AOd7+PX9fxk49Kipi24ufatdSclY3T3cZ4aNVCY3Bys5l3gg/OWpOHA0Ol8wOo/AbBqrOU3tvPUQNDTiz+hCPAI4qeQh5vnq5R8O3K9mtrrfMevmhJ+MobveGD4DD5Y9Rnd897/3bi4HkwoeCWEAADOFp5Fallqm/kMDCV1JRgrHdvltq8qrYoPbhsDW6VaiXpNve61UqPEhZwifJP1b3DiijaVYDa+X2GGtxYbp/wPrudr8N2lPBxJlSOjuAr/OJSGbYfT8UCwJxaO9sO0ER4QGeoo1UNaLcMnp7Px9tEMaLQMwz3t8fETUbjH06HrOzPnGitLYWXLT4ZqsgpTjAtenXyBykKg7i5wK56fWrKX6nf08QzpeDiirjzO08mX7z2fHcsPiZR7mm+vrJc+f2DYND5YHTIVsHM3fNzBdHu5ry7+xBL+4kAarj+/vhq4kwFkHQXitne+nzlv9X7Pf9IuCl4JIWCMYWfyTnDgwNB21HgOHHYm78RE2cQu3a4XC8QQW4lhj/ZrIWxF8fj2VoXBZRzH8Lt8H+IPHMDCoIX46/yn8NojYfj5ciH+cykPl/MVOJpajKOpxfBwsMaCUT5YOMa3e4GlARW1DVj/3WUcT+drXx4d5YPXHw2DrZUFnTpNFeCYc2D12D4+GC3NbHELOZ1/rbgNVMv5KbvVeJvO/voBbdNA8Ma2i/x1AyC/0nbwf4kzMGQKH6wOncYPW2XM98zca/N7W39e/FnbA76j+TbdxgSvpF9Z0BmYENJXVFoV5DVyg4ErwNe+ymvkUGlVsBJaGVynO4wJmq2F1qhT1+HL61/im/Rv8PA9D2N56HI8ET0ZGfIq/OdSHg4mF+BOVT12n8rG7lPZGOXvjIWj/RAT4Q1HSfdus13Oq8Cz+5JQUFEHK5EAW+aHYvFYP9M/3rarTBXgmHtgJbbhb8N6R+jPV1byNW4tbyHfSefb11bc5qfMI83rc0K+7akxMg/zf4VWfDvIpmDVO5IPkrqDavPJIETBKyEEVkIr7I/Zj3Jl+8+id5W49mrgChgXNNuJ7fDW1LfwxbUvkFSShP9m/hcHsg5gVuAsrAhfgb/FhODl2SNxIr0E/7mUj5MZJUi+XYHk2xXY+ksqZod5Y+EYX0QPcYPAwFixGi3DhZxyJJZycMspR/QwD3ydcBv/+CUNDRotAtxs8dHjUQjzcerVz96vTBXg9Pdxe6O2V+LID1vkN1Z/fk1Z284+Jdf5zj4Vt41L372LgXsX6bdbJYR0GQWvhBAAgNROCqldL4xT2gXGBs1SOymm+01HUnESPr36KU4XnMbhnMM4nHMY03ynYcW9KzArlB9ntaRKiR+SC/CfS/nIKqnGweQCHEwugK+LDRaO9sMfRvvA14UPHI5cK2rxWFohvsy6BIlYAKWK77A2K9QLby+M6HbtLelnfVnba+cG2E0GAic3z2MMqJIDaT8Dhze0v22T6D9Tu0hLY87NXwYxCl4JISbVlaA5yisKu7x2Ia0sDZ9d+wy/5f6G2PxYxObHYpx0HJ4JfwYTvCfgT1OGYeV9Q5GSV4H/JObj55RC5N+tw/u/Z2LH8UxMHOaGEV4O2BOf26bOtylw/WOUD95eGGF5zQQGu/6s7eU4wNGb72FOBiZzb/4ySFHwSgixOMFuwXhn6jvIjczF59c+x8/ZPyNBnoAEeQJC3UKxMnwlpvtPxyh/F4zyd8HGuSE4mirHfxLzEH+jTDd1JP5mGbQMEFLsSsjgRu2KzU7vjytDCCH9JNApEFsnbcXhBYfxRPATkAglSC1LxdrYtXj0x0fx082foNKqYGMlxCOjfLBvRTRO/+90/CGq8w42TY+lJYQQYl4oeCWEWDypnRQvj3sZR/94FCvDV8JB7IBsRTb+euaviDkQg/3p+6FUKwEAfq62mBLkYdR+S6qUfZlsMlA0tYvsyABtF3mu8Bwe/uFhnCs81/nKhPQSCl4JIQOGq8QVL0S9gN/++BvWRq2Fq8QVhTWFeP3C63jo+4fw2dXPUN1QDU8HiVH7M3a97qAf/QGkqV3kn+KAP8VBtfw4YkdshWr5cd08rE4ccLeeGWP4IOkDZCuy8UHSB2DM8KghxDKZ8zmKgldCyIBjb2WPZ8KfwdE/HMWr41+FzE6GMmUZdiTtwMzvZ+Ki4mtIXdRoas4qtM2C7dD3ILTNAgBwALydJBg3pBuPCTUC/egPQM5+/EgCskjAOwIK20B+DNmmeQMscAX0n8qXWpaKs4VnTZwi0lvM/Rxl9sFrQUEBnnjiCbi5ucHW1haRkZFITEw0dbIIIRZAIpJgycgl+GXBL3h98usY4jQEVQ1V+PfVT9Agew1Wnj9DIKqAtedRCK1LYO15FFzj+AOb5oVAaGBc2J5ijOFUwSn60ScWhzGGcmU5UstS8fut37H53GZwjZeAHDi8ffFtNKgbTJxK0hvM/cLErEcbuHv3LiZNmoTp06fj8OHD8PT0xM2bN+Hs7GzqpBFCLIhYIMb8YfMRMzQGJ26fwL+v/hvXy67Dyi0eVq7nAI4fHktokw+nwP2YGDAUidUpuHBODbXWwMQ6nqfSqqBhmna3bW3tybWYKJsImb0MUjspvOy8ILWVwtvOG+427hB29+lLBpwrPIdtCdvwyrhXMEE2odf2S0yvp//b6oZqFNUUQV4jh7xWzv9tMRXXFqNeY3i8UwaGm4qbGPv1WAS5BGGk60jdNMJlBOyt2n9ENDEfpXWlOJV3Cu9cekc3T8AJuvV48L5k1sHr9u3b4efnhz179ujmBQYGmi5BhBCLJuAEeDDgQTzg/wDOFZ7Dv6/+G5eKL+mto7G5jNMll4GS/kuXUqPEibwTBpeJOBE8bD348XBtpZDaN/61a55crF2M+lFpfSsw2jvabH6MSM909r+t19S3CUaLaoogr5WjuKYY8ho5qlXVnR6HAwc3iRtqVDWo09S1Wa5lWqSXpyO9PF1vvp+DH0a6jkSwa7AuqHUWO/f4c5OeYYwhW5GNk3knEZsXiyt3rrR54qGWaXW1r5N8Jpkmoa2YdfD6008/YdasWVi4cCHi4uLg4+ODZ599FitXrmx3m/r6etTXN18ZVlZWAgBUKhVUKlWfp7knmtJn7uk0Ncon41A+dWys51ioglVtglcAmOk/EwGOARBxIogEzZOQEza/b7VMxIkgFAh1r8UCcZtlQk6ItXFrcUNxA1qm1R2PAwcvWy/M9J+J4rpiFNfywcSdujtQMzWKaopQVFPU7mexFlrDy9YLXrZeusC25XsvOy/Yi+3b3Ao8dfsUJsomGp1nVKaMY4p8isuP0/vfPn/8eXAcp6sxvVt/16j9OFk5NZedxnLUVIaktlJ42njiYvFFrI5d3e4+Vobxv9GZdzORcTcD8lo58qrykFeVh2O3junWc7V2hZvGDZlJmQhxC8FIl5HwdfCFgOu8ReMF+QW8dekt/O+Y/8V46XijPpul6u3ypNaqkXInBXH5cYgriEN+db7ecolQgnpNvV4QK+AE+GfSPzHWY2yfXfB25fNxzNxa4bYgkfA9fdetW4eFCxciISEBa9euxe7du/HUU08Z3Gbz5s3YsmVLm/lff/01bG3pWdKEEB5jDP+q/hcKNYV6J2kOHGRCGVbZr+r1k3SWKgt7a/a2u/xpu6cxXDxc917LtKhiVVBoFfoTa35dzTqvLQMAa1hDAw3U4JstcODgKfDEc/bPQSAw++4PpBUt00KukeOm+iZuqG7gpuZmp9tYwQpOAic4ChzhJHCCs8AZTpwTnATNkxVn1eE+2vveNDH0/anR1qBIUwS5Ro5CTSGKNEUo1ZYa3N4KVpAKpZAJZfAWesNb6A1PoSdEXHNdW1MaCjQF8BH69Ml3daBRMiWyVFlIV6UjU52JOtZcay6EEMNEwzBSPBJWnBX+W/vfdvfT+hzVm2pra/H4449DoVDA0dGxw3XNOni1srLCmDFjcPZsc0PhF154ARcvXsS5c4aHbjBU8+rn54fS0tJOM8PUVCoVjh07hhkzZkAspmept4fyyTiUTx07W3i2w9qjD6d92KVayc4wxvDk0SeRVp7W7o9+sGsw/m/W/3Xph7hB04Di2sba2lq5rtZW976mGFWqqna3txPbIdI9EiFuIQhzC0OoWyhcJYZHWaAyZZy+yqfC6kJckF/ABfkFJBQnoKK+osP1Hwt6DBO8J/A1p7ZecLRy7HGQ16BpwJwf56Bc2f4DPNwkbjj08CFYCdsPhOvUdUgvTceP536EwFuArIos3FDcMNimVsSJMNRpKEa4jMAIlxFQMRU+SP5At7y3v6vmprvlqbC6EKcKTiGuIA6JJYlQa5vb2ztbO+M+2X2Y4jsF0dJo2Int+uwcZazKykq4u7sbFbyadbMBb29vhISE6M0LDg7G999/3+421tbWsLZuO1i0WCy2mJOtJaXVlCifjEP51BZjDB9f/RgcuHZP0h9f/RhT/Kf02km6Kcg0dDyA7/BSXFsMCAGx0Pj/l1gsxlDJUAx1HdruOtUN1Xjy8JO4WXGzzfFrVDWIL4pHfFG8bp7MToYw9zDdFOIWAjuxnd4xLaFMmbpzWk/zSVGvQII8AecLz+Nc0TnkVeXpLbcV2WKM1xhk3s1ESW0JtGhuiiLgBLhWdg1/jf5rrwYaYrEY38Z822Hw6ipxhZ3Ert3lTfsZJR2FIusizImeA7FYDLVWjVxFLtLK05Beno6M8gyklaehsqESmRWZyKzIxM85P7fZ19/P/R0r712JoU5DEegUCKmd1KimB5ams/KkZVpcL7uua7+aeTdTb3mgYyCm+03HNL9piPCIaNMRtK/OUcbqynfFrIPXSZMmISMjQ29eZmYmAgICTJQiQshAoNKqIK+Rd3iSltfIodKqOqw96goroRX2x+zv9Ee/t47X0uU7l3Gj4ka7yxePWIxadS2ulV5DjiIHhTWFKKwpxG+3fgPAB/PDnIch2DUYqAcCywMR4h7SJz9gvcUSO6fVa+qRUpKCc4XncL7oPK6XXdcro0JOiHs97sUE7wmIlkUjzD0MCUUJWPX7qjb76stONk0dBXubSCDCPS734B6XezBv2DwA/P+xqKZI1wksviAeV0qv6G1XXl+O7Re3695LhBL4O/oj0DEQgU6BCHQMxBCnIQh0DLTIUQ8uyC/gg8oP4CZ3w2S/yXrLlGolEuQJOJl3EnF5cbhTd0e3TMAJMMpzFKb5TsNUv6kY4jSkw+OY8hzVVWYdvL744ouYOHEi3njjDSxatAgJCQn45JNP8Mknn5g6aYQQC9b6JK1WqxF/Jh6TJk+CSMSfFvviJN1XP/odYYxhZ/LODmuZr5ZexTdzvwHHcahqqML1suu4VnqNn8quQV4jx42KG7oA+OcjP8NKYIWRriMR6h6KcPdwhLmHIcAxoN0ar/6uBTU0TqW59JRuomVaZJRn4FzROZwvPI+kkqQ2t82HOQ3DBNkERHtHY7TXaL3gy5j/rbkNcdRVHMdBZi+DzF6G6X7TcSr/FAScoE2HR3uxPdxs3JBfnQ+lRonMu5ltah4BwN3G3WBQK7OXQSToPCTq73LMGMPOlJ24o72DnSk7Mcl3EsqV5TiVfwqxebE4V3QOderm9qu2IltM8pmE6X7TcZ/PfXCWOHfpeKY4R3WHWQevY8eOxcGDB/GXv/wFW7duxZAhQ7Bjxw4sXbrU1EkjhFi4lidplUqFHFEOgl2DLeJ2eFd0tZbZwcoB473HY7x3cw/uO7V3cK30Gq6UXEFsRixKBCWobKjEldIruFJ6Bd/gGwCAvdgeoe6hCHML0wW0XnZePaoFZYxBrVWjTlOHenU9lGol6jR1UKqVqNfUo07Nv1ZqlPxftRJ16jrsz9ivC+o4cNhybgvWjV4HV4krnKyd4CJxgbO1c5/UInVUU5ZflY/zRedxvug8LhRdaNNu1cPGA9He0Zggm4Dx3uPhaevZ7nFMcQfBlFpekLTEwFClqsLbU9/GeO/xKKguQK4iF7mVuchR5CC3Mhe3Km+htK5UN7UeZUQkEMHfwXBtbVMAaIra/LOFZ3G9/DoA4Hr5dTzy4yPIUeTo/c+9bL0wzW8apvtNx1jp2AHxv+6MWQevABATE4OYmBhTJ4MQQixSb9wK9LD1wHT/6ZjsPRmBBYGYPXs25Eo5rpZe1dXQppWnoVpVjQtFF3Ch6ELztjYe8Lbz1qsFXXNyDVwlrm0CznpNvS4QbflewzQ9ygMG/tbzhlMb2iyzFdnC2doZzhJn/m/T1PjexdpFL9h1tnaGRCRp/1itaspC3UNxsfiiLmA11G51nHQcomXRiPaOxlCnoUYHRJZ0m7enulLLHOAYgADHAEzFVL11qhqqcKvyli6gbQpwb1XeQr2mHtmKbGQrsgH9fxGcrZ0R6BgIG5GNXjl+5fQr8Lbz7tJDSlRalW5djVajt61Kq9JfV6OCiukPH5WtyAYAhLiFYJrfNEzznYaRriMttma9u8w+eCWEENIzvX0rkOM4+Dv6w9/RH3OHzgXA1wLerLipC2avll7FjYobuFN3R68dHgCczDvZreMKOAEkQgkkIknz35avhRJYC61xrugcFPWKNkGOrcgWXrZeUDQooKhXQMM0qFXXolZdi8KaQqPTIRFK2ga7jQFveV25Xk3ZlO+m6G0r4kS41+NeRHtH69qtigXdr+23lNu8PdUbtcwOVg66TogtaZkW8ho5chW5yKnM0QW1uZW5kNfIUVFfgZQ7KW3292vOrz3+XN3xxuQ3dG2CBysKXgkhhPSYWCDWPTnpj0F/BADUqmrxn4z/4J3Ed9qsP3/YfAS5BMFGZNMmAJWI+CBUt6xxvlgg7rSGKb4gHodzDxtcVquuxcvjXsYkn0n8GLoNVVDUK3C3/i7/V3kXFfUVzZOyQv99fQXUWjWUGqXuKVXGaNludYx0jN7IDcQ4fVnLLOAEuna1E330h9yqVdXidtVtHM05ik+vfdpm2/v97ucfaCIw/ECT1g8rEQn4B5aIBeK2Dzpp3E4sEEPICbEubh1uVOg/0ETACbAvbR9ihsYMutrWlih4JYQQ0idsRDY4nHu4TQcbASfAzYqb+Mekf/TqD3BXbi0LOAGcrJ3gZO0Ef/gbvf8aVY1eMHtXeVcXAKeXp+NU/qk2220Yu8HsOotZIlPUMtuKbTHCZQQ2n91ssBwX1xZjx/QdvR5IxhfEG+xwZo6PajUFCl4JIYT0ifY62PTVD3Bfd2DiOA72Vvawt7KHr4Ov/r4Zw5JDSwwGOJbe43+w6+9yPBhGkegpCl4JIYT0OlP8AJuyA1N/Bzikf5iiHA+2USS6g4JXQgghvc5UP8DmOpbuYK8ps1Tm8ECT/hqH2pJQ8EoIIaTXDaZhnKimbOAyVTkeLONQdxcFr4QQQvrEYBnGiWrKBrbBUo4tCQWvhBBCSA9RTRkh/cfwQ6gJIYQQQggxQxS8EkIIIYQQi0HBKyGEEEIIsRgUvBJCCCGEEItBwSshhBBCCLEYFLwSQgghhBCLQcErIYQQQgixGBS8EkIIIYQQi0HBKyGEEEIIsRgUvBJCCCGEEItBwSshhBBCCLEYFLwSQgghhBCLQcErIYQQQgixGCJTJ6CvMcYAAJWVlSZOSedUKhVqa2tRWVkJsVhs6uSYLcon41A+GY/yyjiUT8ahfDIO5ZNxBks+NcVpTXFbRwZ88FpVVQUA8PPzM3FKCCGEEEJIR6qqquDk5NThOhwzJsS1YFqtFoWFhXBwcADHcaZOTocqKyvh5+eHvLw8ODo6mjo5ZovyyTiUT8ajvDIO5ZNxKJ+MQ/lknMGST4wxVFVVQSaTQSDouFXrgK95FQgE8PX1NXUyusTR0XFAF9DeQvlkHMon41FeGYfyyTiUT8ahfDLOYMinzmpcm1CHLUIIIYQQYjEoeCWEEEIIIRaDglczYm1tjU2bNsHa2trUSTFrlE/GoXwyHuWVcSifjEP5ZBzKJ+NQPrU14DtsEUIIIYSQgYNqXgkhhBBCiMWg4JUQQgghhFgMCl4JIYQQQojFoOCVEEIIIYRYDApe+9mbb76JsWPHwsHBAZ6ennjkkUeQkZGht86yZcvAcZzeFB0dbaIUm8bmzZvb5IFUKtUtZ4xh8+bNkMlksLGxwbRp05CammrCFJtOYGBgm7ziOA7PPfccgMFbnk6dOoV58+ZBJpOB4zj88MMPesuNKUP19fV4/vnn4e7uDjs7O8yfPx/5+fn9+Cn6Xkf5pFKp8PLLLyM8PBx2dnaQyWR46qmnUFhYqLePadOmtSljixcv7udP0rc6K0/GfM8Ge3kCYPBcxXEc3n77bd06g6E8GRML0DmqfRS89rO4uDg899xzOH/+PI4dOwa1Wo2ZM2eipqZGb72HHnoIRUVFuunXX381UYpNJzQ0VC8Prl69qlv21ltv4b333sOHH36IixcvQiqVYsaMGaiqqjJhik3j4sWLevl07NgxAMDChQt16wzG8lRTU4OIiAh8+OGHBpcbU4bWrl2LgwcPYv/+/Thz5gyqq6sRExMDjUbTXx+jz3WUT7W1tUhKSsLGjRuRlJSEAwcOIDMzE/Pnz2+z7sqVK/XK2O7du/sj+f2ms/IEdP49G+zlCYBe/hQVFeHzzz8Hx3H4wx/+oLfeQC9PxsQCdI7qACMmVVJSwgCwuLg43bynn36aPfzww6ZLlBnYtGkTi4iIMLhMq9UyqVTKtm3bppunVCqZk5MT+9e//tVPKTRfa9asYcOGDWNarZYxRuWJMcYAsIMHD+reG1OGKioqmFgsZvv379etU1BQwAQCATty5Ei/pb0/tc4nQxISEhgAduvWLd28qVOnsjVr1vRt4syIoXzq7HtG5cmwhx9+mN1///168wZbeWKsbSxA56iOUc2riSkUCgCAq6ur3vzY2Fh4enoiKCgIK1euRElJiSmSZ1JZWVmQyWQYMmQIFi9ejOzsbABATk4O5HI5Zs6cqVvX2toaU6dOxdmzZ02VXLPQ0NCAr776CsuXLwfHcbr5VJ70GVOGEhMToVKp9NaRyWQICwsb1OVMoVCA4zg4Ozvrzd+3bx/c3d0RGhqKl156aVDeBenoe0blqa3i4mIcOnQIzzzzTJtlg608tY4F6BzVMZGpEzCYMcawbt06TJ48GWFhYbr5s2fPxsKFCxEQEICcnBxs3LgR999/PxITEwfNEzbGjx+PL7/8EkFBQSguLsY//vEPTJw4EampqZDL5QAALy8vvW28vLxw69YtUyTXbPzwww+oqKjAsmXLdPOoPLVlTBmSy+WwsrKCi4tLm3Wath9slEolXnnlFTz++ONwdHTUzV+6dCmGDBkCqVSKa9eu4S9/+QsuX76sa8IyGHT2PaPy1NbevXvh4OCABQsW6M0fbOXJUCxA56iOUfBqQqtXr8aVK1dw5swZvfmPPfaY7nVYWBjGjBmDgIAAHDp0qM2XfKCaPXu27nV4eDgmTJiAYcOGYe/evbpOEC1rFgH+BNB63mDz2WefYfbs2ZDJZLp5VJ7a150yNFjLmUqlwuLFi6HVarFr1y69ZStXrtS9DgsLw/DhwzFmzBgkJSUhKiqqv5NqEt39ng3W8gQAn3/+OZYuXQqJRKI3f7CVp/ZiAYDOUe2hZgMm8vzzz+Onn37CyZMn4evr2+G63t7eCAgIQFZWVj+lzvzY2dkhPDwcWVlZulEHWl9ZlpSUtLlKHUxu3bqF33//HStWrOhwPSpPMKoMSaVSNDQ04O7du+2uM1ioVCosWrQIOTk5OHbsmF6tqyFRUVEQi8WDuoy1/p5RedJ3+vRpZGRkdHq+AgZ2eWovFqBzVMcoeO1njDGsXr0aBw4cwIkTJzBkyJBOtykrK0NeXh68vb37IYXmqb6+HmlpafD29tbdTmp5C6mhoQFxcXGYOHGiCVNpWnv27IGnpyfmzp3b4XpUnmBUGRo9ejTEYrHeOkVFRbh27dqgKmdNgWtWVhZ+//13uLm5dbpNamoqVCrVoC5jrb9nVJ70ffbZZxg9ejQiIiI6XXcglqfOYgE6R3XCVD3FBqs///nPzMnJicXGxrKioiLdVFtbyxhjrKqqiq1fv56dPXuW5eTksJMnT7IJEyYwHx8fVllZaeLU95/169ez2NhYlp2dzc6fP89iYmKYg4MDy83NZYwxtm3bNubk5MQOHDjArl69ypYsWcK8vb0HVR61pNFomL+/P3v55Zf15g/m8lRVVcWSk5NZcnIyA8Dee+89lpycrOslb0wZWrVqFfP19WW///47S0pKYvfffz+LiIhgarXaVB+r13WUTyqVis2fP5/5+vqylJQUvXNWfX09Y4yxGzdusC1btrCLFy+ynJwcdujQITZy5Eg2atSoQZNPxn7PBnt5aqJQKJitrS37+OOP22w/WMpTZ7EAY3SO6ggFr/0MgMFpz549jDHGamtr2cyZM5mHhwcTi8XM39+fPf300+z27dumTXg/e+yxx5i3tzcTi8VMJpOxBQsWsNTUVN1yrVbLNm3axKRSKbO2tmZTpkxhV69eNWGKTevo0aMMAMvIyNCbP5jL08mTJw1+155++mnGmHFlqK6ujq1evZq5uroyGxsbFhMTM+DyrqN8ysnJafecdfLkScYYY7dv32ZTpkxhrq6uzMrKig0bNoy98MILrKyszLQfrJd1lE/Gfs8Ge3lqsnv3bmZjY8MqKirabD9YylNnsQBjdI7qCMcYY31UqUsIIYQQQkivojavhBBCCCHEYlDwSgghhBBCLAYFr4QQQgghxGJQ8EoIIYQQQiwGBa+EEEIIIcRiUPBKCCGEEEIsBgWvhBBCCCHEYlDwSgghhBBCLAYFr4QQ0gtyc3PBcRxSUlJMnRSd9PR0REdHQyKRIDIy0iRpCAwMxI4dO0xybELIwETBKyFkQFi2bBk4jsO2bdv05v/www/gOM5EqTKtTZs2wc7ODhkZGTh+/LjBdSjfCCGWhoJXQsiAIZFIsH37dty9e9fUSek1DQ0N3d725s2bmDx5MgICAuDm5tbuegMx3wghAxcFr4SQAePBBx+EVCrFm2++2e46mzdvbnMLfceOHQgMDNS9X7ZsGR555BG88cYb8PLygrOzM7Zs2QK1Wo0NGzbA1dUVvr6++Pzzz9vsPz09HRMnToREIkFoaChiY2P1ll+/fh1z5syBvb09vLy88OSTT6K0tFS3fNq0aVi9ejXWrVsHd3d3zJgxw+Dn0Gq12Lp1K3x9fWFtbY3IyEgcOXJEt5zjOCQmJmLr1q3gOA6bN2/uUb4BwPfff4/Q0FBYW1sjMDAQ7777rt7ykpISzJs3DzY2NhgyZAj27dvXZh8KhQJ/+tOf4OnpCUdHR9x///24fPmybvnly5cxffp0ODg4wNHREaNHj8alS5c6TBchZHCh4JUQMmAIhUK88cYb2LlzJ/Lz83u0rxMnTqCwsBCnTp3Ce++9h82bNyMmJgYuLi64cOECVq1ahVWrViEvL09vuw0bNmD9+vVITk7GxIkTMX/+fJSVlQEAioqKMHXqVERGRuLSpUs4cuQIiouLsWjRIr197N27FyKRCPHx8di9e7fB9H3wwQd499138c477+DKlSuYNWsW5s+fj6ysLN2xQkNDsX79ehQVFeGll15q97Mak2+JiYlYtGgRFi9ejKtXr2Lz5s3YuHEjvvjiC906y5YtQ25uLk6cOIH//ve/2LVrF0pKSnTLGWOYO3cu5HI5fv31VyQmJiIqKgoPPPAAysvLAQBLly6Fr68vLl68iMTERLzyyisQi8Xtpp0QMggxQggZAJ5++mn28MMPM8YYi46OZsuXL2eMMXbw4EHW8lS3adMmFhERobft+++/zwICAvT2FRAQwDQajW7eiBEj2H333ad7r1armZ2dHfvmm28YY4zl5OQwAGzbtm26dVQqFfP19WXbt29njDG2ceNGNnPmTL1j5+XlMQAsIyODMcbY1KlTWWRkZKefVyaTsddff11v3tixY9mzzz6rex8REcE2bdrU4X6MzbfHH3+czZgxQ2/bDRs2sJCQEMYYYxkZGQwAO3/+vG55WloaA8Def/99xhhjx48fZ46OjkypVOrtZ9iwYWz37t2MMcYcHBzYF1980cmnJ4QMZlTzSggZcLZv3469e/fi+vXr3d5HaGgoBILmU6SXlxfCw8N174VCIdzc3PRqFgFgwoQJutcikQhjxoxBWloaAL728uTJk7C3t9dNI0eOBMC3T20yZsyYDtNWWVmJwsJCTJo0SW/+pEmTdMfqjo7yLS0tzeDxsrKyoNFokJaWpvu8TUaOHAlnZ2fd+8TERFRXV8PNzU0vD3JycnSff926dVixYgUefPBBbNu2TS9fCCEEoGYDhJABaMqUKZg1axZeffXVNssEAgEYY3rzVCpVm/Va36rmOM7gPK1W22l6mnrta7VazJs3DykpKXpTVlYWpkyZolvfzs6u03223G8TxliPRgjoKN8M7btlPja97uj4Wq0W3t7ebT5/RkYGNmzYAIBvk5yamoq5c+fixIkTCAkJwcGDB7v9mQghA4/I1AkghJC+sG3bNkRGRiIoKEhvvoeHB+RyuV4w1ptjs54/f14XiKrVaiQmJmL16tUAgKioKHz//fcIDAyESNT906+joyNkMhnOnDmjF/SePXsW48aN61H628u3kJAQnDlzRm/e2bNnERQUBKFQiODgYKjValy6dEmXhoyMDFRUVOjWj4qKglwuh0gk0usg11pQUBCCgoLw4osvYsmSJdizZw8effTRHn0uQsjAQTWvhJABKTw8HEuXLsXOnTv15k+bNg137tzBW2+9hZs3b+Kjjz7C4cOHe+24H330EQ4ePIj09HQ899xzuHv3LpYvXw4AeO6551BeXo4lS5YgISEB2dnZ+O2337B8+XJoNJouHWfDhg3Yvn07vv32W2RkZOCVV15BSkoK1qxZ06P0t5dv69evx/Hjx/Haa68hMzMTe/fuxYcffqjrCDZixAg89NBDWLlyJS5cuIDExESsWLECNjY2un08+OCDmDBhAh555BEcPXoUubm5OHv2LP72t7/h0qVLqKurw+rVqxEbG4tbt24hPj4eFy9eRHBwcI8+EyFkYKHglRAyYL322mttmggEBwdj165d+OijjxAREYGEhIQOe+J31bZt27B9+3ZERETg9OnT+PHHH+Hu7g4AkMlkiI+Ph0ajwaxZsxAWFoY1a9bAyclJr32tMV544QWsX78e69evR3h4OI4cOYKffvoJw4cP7/FnMJRvUVFR+O6777B//36EhYXh73//O7Zu3Yply5bp1tmzZw/8/PwwdepULFiwQDckVhOO4/Drr79iypQpWL58OYKCgrB48WLk5ubCy8sLQqEQZWVleOqppxAUFIRFixZh9uzZ2LJlS48/EyFk4OBY6zMUIYQQQgghZopqXgkhhBBCiMWg4JUQQgghhFgMCl4JIYQQQojFoOCVEEIIIYRYDApeCSGEEEKIxaDglRBCCCGEWAwKXgkhhBBCiMWg4JUQQgghhFgMCl4JIYQQQojFoOCVEEIIIYRYDApeCSGEEEKIxfj/WGchYlEqYD0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 数据\n",
    "data = [[[14.0, 14, 13.0], [14.0, 14, 14.0], [13.0, 17, 16.0], [34.0, 35, 35.0], [25.0, 25, 25.0], [15.0, 17, 17.0], [15.0, 19, 19.0], [13.0, 15, 15.0], [12.0, 17, 15.0], [10.0, 12, 11.0], [23.0, 17, 17.0], [38.0, 38, 38.0], [22.0, 22, 22.0], [14.0, 22, 19.0], [18.0, 17, 14.0], [29.0, 26, 25.0], [23.0, 17, 16.0], [15.0, 16, 16.0], [10.0, 12, 11.0], [13.0, 17, 14.0], [17.0, 17, 16.0], [11.0, 13, 12.0], [23.0, 23, 23.0], [30.0, 20, 19.0], [12.0, 14, 12.0], [12.0, 13, 12.0], [9.0, 11, 11.0], [9.0, 12, 11.0], [12.0, 18, 16.0], [15.0, 15, 12.0], [39.0, 24, 23.0], [13.0, 18, 15.0], [23.0, 17, 17.0], [24.0, 27, 26.0], [17.0, 16, 15.0], [23.0, 23, 23.0], [10.0, 15, 15.0], [21.0, 24, 22.0], [13.0, 17, 17.0], [26.0, 25, 24.0], [9.0, 11, 9.0], [14.0, 14, 14.0], [31.0, 19, 19.0], [16.0, 13, 12.0], [18.0, 15, 14.0], [15.0, 17, 16.0], [13.0, 14, 13.0], [19.0, 17, 16.0], [13.0, 15, 14.0], [18.0, 20, 17.0], [15.0, 17, 14.0], [17.0, 18, 17.0], [10.0, 13, 13.0], [16.0, 19, 19.0], [23.0, 22, 22.0], [9.0, 14, 12.0], [22.0, 27, 22.0], [11.0, 13, 13.0], [16.0, 20, 17.0], [17.0, 19, 19.0]], [[0, 0, 0], [7.0, 11, 11.0], [15.0, 12, 12.0], [11.0, 9, 8.0], [12.0, 16, 15.0], [12.0, 12, 11.0], [9.0, 8, 7.0], [8.0, 11, 11.0], [8.0, 10, 10.0], [10.0, 11, 11.0], [10.0, 12, 11.0], [10.0, 16, 12.0], [10.0, 10, 8.0], [12.0, 14, 13.0], [7.0, 7, 7.0], [7.0, 8, 8.0], [9.0, 14, 12.0], [12.0, 9, 9.0], [6.0, 13, 11.0], [11.0, 12, 12.0], [10.0, 8, 8.0], [14.0, 17, 17.0], [8.0, 12, 11.0], [9.0, 11, 11.0], [9.0, 11, 11.0], [8.0, 12, 11.0], [11.0, 11, 10.0], [10.0, 9, 8.0], [17.0, 20, 19.0], [18.0, 14, 13.0], [8.0, 12, 11.0], [11.0, 16, 14.0], [11.0, 17, 13.0], [11.0, 22, 18.0], [15.0, 15, 13.0], [10.0, 10, 10.0], [12.0, 11, 10.0], [9.0, 18, 13.0], [14.0, 11, 10.0], [9.0, 8, 8.0], [16.0, 10, 10.0], [6.0, 8, 8.0], [20.0, 12, 12.0], [9.0, 10, 9.0], [14.0, 18, 18.0], [9.0, 13, 12.0], [8.0, 12, 12.0], [11.0, 12, 12.0], [10.0, 12, 10.0], [9.0, 12, 10.0], [10.0, 9, 9.0], [8.0, 11, 9.0], [11.0, 10, 9.0], [15.0, 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9.0], [5.0, 6, 6.0], [10.0, 9, 7.0], [5.0, 5, 4.0], [8.0, 6, 6.0], [13.0, 8, 8.0], [8.0, 7, 6.0], [5.0, 8, 5.0], [11.0, 7, 7.0], [4.0, 5, 5.0], [7.0, 7, 5.0], [7.0, 7, 7.0], [5.0, 6, 6.0], [6.0, 5, 5.0], [6.0, 5, 4.0], [6.0, 5, 4.0], [10.0, 7, 6.0], [7.0, 9, 9.0], [6.0, 6, 6.0], [7.0, 8, 7.0], [8.0, 6, 5.0], [10.0, 8, 7.0], [5.0, 5, 4.0], [10.0, 7, 6.0], [13.0, 7, 6.0], [5.0, 5, 4.0], [6.0, 6, 5.0], [12.0, 8, 7.0], [8.0, 7, 5.0], [14.0, 12, 11.0], [14.0, 10, 7.0], [8.0, 6, 5.0], [12.0, 10, 8.0], [4.0, 4, 4.0], [9.0, 8, 7.0], [7.0, 7, 5.0], [6.0, 7, 6.0], [6.0, 7, 7.0], [14.0, 7, 6.0], [6.0, 6, 5.0], [8.0, 4, 4.0], [7.0, 6, 5.0], [14.0, 8, 8.0], [7.0, 6, 4.0], [6.0, 5, 4.0], [9.0, 6, 6.0], [7.0, 6, 5.0], [8.0, 7, 6.0], [10.0, 10, 8.0], [8.0, 6, 5.0], [6.0, 6, 5.0]], [[0, 0, 0], [9.0, 6, 4.0], [10.0, 6, 6.0], [14.0, 6, 5.0], [9.0, 12, 11.0], [9.0, 8, 8.0], [7.0, 5, 4.0], [5.0, 7, 7.0], [17.0, 9, 9.0], [9.0, 9, 6.0], [6.0, 7, 6.0], [5.0, 7, 7.0], [8.0, 6, 6.0], [8.0, 6, 5.0], [5.0, 6, 6.0], [7.0, 8, 7.0], [13.0, 13, 12.0], [4.0, 8, 8.0], [6.0, 6, 6.0], [6.0, 5, 5.0], [7.0, 6, 5.0], [7.0, 7, 7.0], [8.0, 7, 7.0], [8.0, 7, 5.0], [8.0, 6, 4.0], [6.0, 7, 5.0], [8.0, 8, 8.0], [6.0, 7, 6.0], [5.0, 5, 5.0], [10.0, 6, 6.0], [11.0, 12, 10.0], [8.0, 6, 5.0], [5.0, 8, 8.0], [5.0, 6, 5.0], [7.0, 5, 5.0], [5.0, 7, 5.0], [11.0, 8, 8.0], [10.0, 7, 7.0], [7.0, 7, 4.0], [14.0, 10, 9.0], [6.0, 6, 6.0], [10.0, 9, 7.0], [9.0, 8, 6.0], [6.0, 7, 7.0], [7.0, 6, 5.0], [6.0, 6, 5.0], [7.0, 5, 5.0], [9.0, 6, 6.0], [8.0, 6, 5.0], [7.0, 5, 5.0], [10.0, 6, 6.0], [7.0, 6, 6.0], [13.0, 6, 6.0], [15.0, 6, 5.0], [5.0, 4, 3.0], [7.0, 5, 5.0], [6.0, 5, 4.0], [15.0, 9, 9.0], [10.0, 7, 6.0], [8.0, 7, 4.0]]]\n",
    "\n",
    "mean_data = []\n",
    "\n",
    "# 计算均值\n",
    "for i in data:\n",
    "    mean_data.append(np.mean(i, axis=0))\n",
    "\n",
    "# 提取 num_node 数组\n",
    "num_nodes = list(range(20, len(data) * 10 + 20, 10))\n",
    "\n",
    "sp_psp = [item[0] for item in mean_data]\n",
    "rpd_gd = [item[1] for item in mean_data]\n",
    "rpsp = [item[2] for item in mean_data]\n",
    "\n",
    "sp_psp_mean = np.mean(sp_psp)\n",
    "rpd_gd_mean = np.mean(rpd_gd)\n",
    "rpsp_mean = np.mean(rpsp)\n",
    "\n",
    "print((rpd_gd[19] - rpsp[19]) / rpd_gd[19])\n",
    "print((sp_psp[19] - rpsp[19]) / sp_psp[19])\n",
    "\n",
    "# print((sp_psp_mean - rpsp_mean) / sp_psp_mean)\n",
    "# print((rpd_gd_mean - rpsp_mean) / rpd_gd_mean)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "# plt.plot(num_nodes, sp_gd, label='shortest_path + greedy_ps_provision', marker='p')\n",
    "plt.plot(num_nodes, sp_psp, label='SP+PSP', marker='o')\n",
    "plt.plot(num_nodes, rpd_gd, label='RPD+GD', marker='s')\n",
    "plt.plot(num_nodes, rpsp, label='RPSP-HE', marker='^')\n",
    "plt.xlabel('Number of Nodes')\n",
    "plt.ylabel('Used Time Slots')\n",
    "plt.title('sd_num=50, alpha=0.35')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(\"var_node_num.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.mean(data)"
   ]
  }
 ],
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   "language": "python",
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    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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